Maths-
General
Easy
Question
What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
Hint:
taking out the common terms and using
find the solution.
The correct answer is: 6(x-5)2 is the factorized form of the given expression
Ans:- 6(x - 5)2 is the factorized form of given expression.
Given, ![6 x squared minus 60 x plus 150](data:image/png;base64,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)
Taking out 6 as common factor we get ![6 open parentheses x squared minus 10 x plus 25 close parentheses](data:image/png;base64,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)
Write ![25 text as end text left parenthesis 5 right parenthesis squared text and end text 10 x text as end text 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis text then we get end text 3 open parentheses left parenthesis x right parenthesis squared minus 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis plus 5 squared close parentheses](data:image/png;base64,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)
Applying ![a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared text formula here end text a equals x semicolon b equals 5](data:image/png;base64,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)
We get = .![6 x squared minus 60 x plus 150 equals 6 left parenthesis x minus 5 right parenthesis squared](data:image/png;base64,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)
∴ 6(x - 5)2 is the factorized form of the given expression.
Related Questions to study
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Maths-General
Maths-
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
Maths-General
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Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Maths-General
Maths-
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAATCAYAAAAONioVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAg9JREFUeNrtmEFEBFEYx9daayWR7CHdVtZKhy5JkkRWkpVIknSIPeype9KpS4ekQ6ysJF2SDsnekqwkVpIOiY4d9tIhWWst2//xPzzjzfb27Zs5zZ8fO998s/P5z3vvezOhUCATNUkdPIDBwBI7CoMceA6ssKtaYIE9TYF7t5NJsA1eWvxBDzgCTyTPmGmeLenULjQKLsAPR9Y1TTFRP9fQhFvCGchywXXTLchIx/OMmebZkk7tWRqYlB76KigZPsAbmqrVxVRaAoeK+AFYMcjzqgOrNATKlu4hTCy2M+PciroEaUV8mufazfPT0LzmwyyAZUV8E+zytzAzZaOobxBVxEWsYpDnp6HvmtNzHew5Yl3gA/Q59qEyRkU1WlxTN8jz09Aa170rUGUdZa6hsubYtGTtsOFZL6qhuRfTzVO9fbSik9qb3IALwyLclE9w5OWkPDEK36TjOPgEMS8MrbhM5ZhjKuvm+TlCxTZpQBEfAV+OWFX6vc/105OiREOZVcTTiqakk+enoUWOSp1lqMS9ZYKjM+xVUYvgWBE/cXRQ3Tw/Dc25dO8UXzxknXIPfQ7WvCxK6I5TIMJpveXy6qWb55ehUd5/gzUJjYFXMKPYIhV4zspnqVaNoJc3q3GtEfu77g7ybBr5X+1xzpxfNk5h8KQib4HXZ4JPFXYkjHwMbLAn0cDGAxvsaJgfPYz0B9ZOoApi/ICIAAAAiHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4xMDA8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE2PC9tbj48bXN1cD48bWk+eTwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+aiZ+7QAAAABJRU5ErkJggg==)
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Maths-General
Maths-
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
Maths-General
Maths-
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAARCAYAAAABvfiJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAglJREFUeNpjYCAd/IfiX0B8FIhVGEbBkAZMQJwFxOdGg2J4gB+jQTD0gT0QHxwNhqENJKF1pBINzLYG4jVA/AlaF18A4mgcavmAeBoQn4TimVCxwQDUgLgW6n4GCt1PE3+CHLgFGpm0AKBcHgnEPFC+FjTRRGJRuxeI/ZD4PlCxwQAWA3EatHGICxDrfqr7ExR52wYg1csD8SU0sVAgnoRF7QQckU4p+E9lfcS6nyR/JgNxBxbFzVA5GABFosYgaViBil83LOocoXLk+I+eEUms+0nxJxiAuhLiSPxEIJ6Cox+JjOkBLKHFKzJ4B8RsWNSCxF6S6T96RiSx7ifVnwweQNwHZbsMorqGA1rBW6OJ/8Gj5xcN/EftiCTW/aT6Ewx2Q7sVoJaWMBXqFEKYEBAE4g04ipY/ZPRvSfEfNdxPbkT+oNCfDAXQWNYbBDlRCRqJuIYBX+IocjhwFTkU+o/aOZJY95PsT1j/rY9GrT5SAKhBNRuIufCoWQMtLtGBG45GAKX+o0Vjhxj3k+RPUOrfBA04UP/tDBWKVnIBqEGyCohZCKgLgkY2OpiPJaKo4T9qRySx7ifan6LQboUwWodz8QBF5BYSujj7ocUlC7T4qWbAHDaklv+oHZHEup8odSDBdUAsjUXzchxZmtaAlMYFqDE0F1rpf4MOXfEMEv9Rw/2kqhsFQxkAAE2qvm/Oa1SPAAAAnHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjIwPC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xMDA8L21uPjwvbWF0aD4NjzzrAAAAAElFTkSuQmCC)
Maths-General
Maths-
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
Maths-General
Maths-
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be (
) of the volume of the given cone, at what height above the base is the section made ?
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)
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be (
) of the volume of the given cone, at what height above the base is the section made ?
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)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
![A equals x squared plus 32 x plus 256](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAARCAYAAADkD/+gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAu5JREFUeNrtWEFkXFEU/UaMqlEiKmpUqIhRFaWiqmqUiFFdRIiILqpCF11FdVtdVOkqZtFNdNlFGRURMUpURGQRYkRWEaqrbrsYVWOU6b16Pt/r+3/ue/+//F/e4TD/z5s399533n33viD4PzAA+8QD4mTg4WGIEvEZseND4WGLng+Bhw3qxD0fhuJjtWD2XEHNc83B3PeJbeIvZLYzYpM4poy7S/xE7KIGOyY+KkBspHYNEqjDDLGFeTkuW9jAiViCESMFEc4UcRsCcoFd4gKxHHl3k/hZGcdZb5lYwfN1CHo55/hI7RoYzPkUYpnC8yUIcj/pR6PEE+IOcb4gGacN4206tTToCsZMIF6uOk1b6OySzsfiO7L503Uo9jHxnUNRrBDfat6/xnchWDi1HILPx+NpiiJe6p9L8fcs51u3yaZ3cDwwxolfBc4NYxI6+J8QTzSCNZ0zbfDHYQfXPQ+EMTtI4Z8r8ejsks53aloijCBVXVWcrznMPg3iGj7PEr/kmPZVgUoahgvEQxSsLvyzFU+cXeFlaxcZ/XmkTlIzFtc6G2gi+tBGbHPwivhCefcm+Hsx5xI7qOCPNd2NjVjSZMKw5ptH8OtDxm0S5zL0Lyv7h9nFieIW8SWyTE1jRweZl8eWIMQznR5qgf7mto6K26Wzq1D2dMEKzgoEFFcP8QJNOvbP1H4Tu0LMBf/enXFmqmrGcgf6XX25n7D4Llv28H5izVG7m3XBGW6098SL5+Cfif0mdg3zs41so0Nf7eebCRN/FBaONt3MFpyt4EwdK5B4ppGm1WK6JdxMWfgntd/ELhU3NI0RH01LMQI9jN6hnMQUTdGWs5nxol6GuqPBfEj8kJN4OG0vRs53vnH+huuKKLaFDURW/kntl9q1gS6sBDYgnAVlXBkxWYkI8ja0MhsOasGpJFQ1OzANynCiGpPlGsH54x4WoAfuxsRFUtvl4Z+05lzEWv4m/sD6zyRsAD4Gf2L8HuLk4ZEOfwDcIfo8066RagAAAKl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MzI8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI1NjwvbW4+PC9tYXRoPjss5fkAAAAASUVORK5CYII=)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
![A equals x squared plus 32 x plus 256](data:image/png;base64,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)
Maths-General
Maths-
Write the factored form of the given expression.
![72 x squared minus 32](data:image/png;base64,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)
Write the factored form of the given expression.
![72 x squared minus 32](data:image/png;base64,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)
Maths-General