Maths-
General
Easy
Question
Factor the given expression completely.
![negative 3 x cubed plus 18 x squared minus 27 x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJIAAAARCAYAAAA2X/X4AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArdJREFUeNrtWc9HZVEcP54keYaRJC1iZKTFE7NKkkeSMYvEW2SMkchoMfoHWiVmMZK0S6skkownzzCSZ8wiRtIiI5K0GLOZRZLnbV6fq8/lyrv33B/nnHu77ocP78d575zPOd/zPZ/vuUIkCw2yDp6C4yJdcOr7BfaJDNrRD16nVFsOnAdPsmU2M9n/U66xli2zXnSA6+BMijWOgtVsqYUoghXwnjvrAlxlEKjwER80j/81uEgv5oZ2cA28o8bvYI+CvrvpkV5p0DUM7oG3Dq/53mOe3WgMR+AU2Or4bJCTHRUvwGVwTuP4t/j/XpO2yXG0UOcX8FhBAB8wmHTAynLTYJ7vBxi00z5/XwI3kpCpbmPyEGF3USNA/znu8iiZqMKNYhK94JmPdl3gT7At7iCyUvWfJp/Pcjc/xRK/a4YR8HfMgXTn2Nl2IN1E0FdhNZpUY1/mqaJi/UKhi8bY8klvXdqcsJ2NGRrqZue27Ud6Yw4kyx99drwfAr8q0GfaiwzxePPCJ3pGEUFfZGNsc8Gj7QS4wtdj4KHiydIRSAUeZXV6j7/MlHHoC4s2+rphydF3TC8Yef0aIryTfwlOcjCjHu1+8PtThdVd1Mqj4TG52/Q1dkHxBrxkgD0Hfda6fBPyJwRVVuEyqNTnibykqlng7i5o6Ft1Rtp3GWeRFatpfWH8qhVEsscwJXo3PzCqrya531gJUIrGGUi1gBp16wuCfpbw7ZJ2ORZHgwHup4zoK9BwN9sdZQrLsxrrSHggnbvs5gF6JdP6ghQ+uxK/Y2NS+Ltd16qvyrTYwsi2Uv4V+PFJu06mTmfH78TjhWCSA2mKwVSkPlvjJSsc0/r84iDAFcOOkD+G0q5vhIOukUfswIlWeo0eFxETMaZ/P+a1xLK3To1V7uIk6wtizv/RkLshyeuXIY14AK5H5JVKQlNLAAAA13RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MzwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MTg8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI3PC9tbj48bWk+eDwvbWk+PC9tYXRoPjGDDuoAAAAASUVORK5CYII=)
Hint:
using the formula
factorize the given expression
The correct answer is: -3x(x-3)2 is the factorized form of the given expression.
Ans:-
is the factorized form of the given expression.
Given, ![negative 3 x cubed plus 18 x squared minus 27 x](data:image/png;base64,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)
Taking out common factor -3x out of equation , we get ![negative 3 x open parentheses x squared minus 6 x plus 9 close parentheses](data:image/png;base64,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)
Write ![6 x text as end text 2 left parenthesis 3 right parenthesis x text and end text 9 text as end text left parenthesis 3 right parenthesis squared text we get end text minus 3 x open parentheses x squared minus 2 left parenthesis 3 right parenthesis x plus 3 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](data:image/png;base64,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)
Here a = x ; b = 3
We get , ![negative 3 x cubed plus 18 x squared minus 27 x equals negative 3 x left parenthesis x minus 3 right parenthesis squared](data:image/png;base64,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)
∴
is the factorized form of the given expression.
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Factor the given expression completely.
![64 x squared y squared minus 144 z squared](data:image/png;base64,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)
Factor the given expression completely.
![64 x squared y squared minus 144 z squared](data:image/png;base64,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)
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A funnel is in the shape of a right circular cone with a base radius of 3 cm and a height of 4 cm. Find the slant height of the funnel
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Factor the polynomial as the product of binomials.
![x squared minus 1 over 9](data:image/png;base64,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)
Factor the polynomial as the product of binomials.
![x squared minus 1 over 9](data:image/png;base64,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)
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A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?
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Maths-
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
Maths-General
Maths-
If the area of 1 face is 81 how much is the surface area of the whole cube?
If the area of 1 face is 81 how much is the surface area of the whole cube?
Maths-General
Maths-
calculate the surface area of a cube with a side of 4 mm
calculate the surface area of a cube with a side of 4 mm
Maths-General
Maths-
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Maths-General
Maths-
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Maths-General
Maths-
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Maths-General