Maths-
General
Easy
Question
Use the square of a binomial to find the value of 712.
Hint:
The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2
The correct answer is: 5041
712 can be written as (70 + 1)2 which can be further written as (70 + 1)(70 + 1)
(70 + 1)(70 + 1) = 70(70 + 1) + 1(70 + 1)
= 70(70) + 70(1) + 1(70) + 1(1)
= 4900 + 70 + 70 + 1
= 4900 + 140 + 1
= 5041
Final Answer:
Hence, the value of 712 is 5041.
Final Answer:
Hence, the value of 712 is 5041.
Related Questions to study
Maths-
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find subsets of A such that the GCF of its elements is 4x, 5x and y.
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find subsets of A such that the GCF of its elements is 4x, 5x and y.
Maths-General
Maths-
Solve: (3𝑥 − 4)2
Solve: (3𝑥 − 4)2
Maths-General
Maths-
Find the product
−2𝑥2(𝑥2 + 3𝑥 + 4)
Find the product
−2𝑥2(𝑥2 + 3𝑥 + 4)
Maths-General
Maths-
Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)
Subtract 4y(y - z + x) - 3x(x - y + z) from 5z(z - y - x)
Maths-General
Maths-
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find a subset of A such that the GCF of its elements is 3.
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find a subset of A such that the GCF of its elements is 3.
Maths-General
Maths-
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATgAAAAPCAYAAABwd9PLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAABORJREFUeNrtW1GEVVEUPZ4xkn6S8WRkGMlIEukjSSJjJGPESJKRSNJH0m/6SKSP0Uc/SR9JIknGGJFnZCRDkowk0nc/fbyP5xlx27tZjzNv7rn3nHv3Pu/2arM+3ul2197nrLvPPvveMSbbrhg920V4SWhZY4cIzwlNwirhI+GMAvdRwgK424SvhLuEbUbXThAShfsmGYhpSURfjhCWsH4t6GZUQaPXocM0i6VXKX9j6z7PHw2ttJBXduZdeAqLNqAU/BdMuG1vCKcJW/B7N+EtxiRtkXCSMGiN7SO8UhQfx/RZMcFV2aYJDwTvN05YIRwg1KDR89BUXZDnMeFCxvzG0quUv7F1n+ePlm6PQQtO20r4RHhNmFLc7X1sBL7EsKbive/jIfzXElwdldYmwXu+d1RrnEjv9Hh+Y+pVSg/NHvmT9GoO7mMXmiHcq8AitFPGOFncThm/iX8LtVFH1pfg4aNMIyfuMjwhc+nD8xAVfFrL4lbgvM6hSpCM95djnKu5D9ZvqThCH8R2j+c9qYjuJRNcqD/Oex8kzFu777eSfRcX0apnYAdR9qfZh64jybkCCbmO/8f9iOMKPIPY0Uc8FrUoT+gDmMczk1IJbcYchfRrLqIHIx0va3K/o3pqKcQRMr9l9BrTX23da1RwIf6kboIDKP93dN10TLh6205453EdH2uWUQGl2QRh1jp3NwIn3UbWC5UyPLzrXPZc1KI8CTYMPmpwE/mq1RcqwsOCf9Y1diMnWaUlm2WT3cMtGi8fRb+btRcNNeAEtLoqHEfIg1hWrzH8jaV73wQnqVvblpFnNkzmta4xLo0vKRxP8xqx3AfktyHjOde9htA/mmJvg5hnChNyRJhnb8punijGM4DK5jqOHWMFefj3ivV7CFVTSB+NG/BHPa4rGi//n0UcB9tIDDu7KjiJOHwTnIReY/urpftQf6R0a9upbt6xrv6FLaQ54SPqiHUMdvUFvF71YgdaRTIpY1uw2JI8yykxJJHiGUeSKcpjJ4pZE/bJ0DR2ZBNx/ewKSioO3zWT1GsMf7V1X8afsrrt2ILVFvpjSxkJSuNzkZZjnBPtA/Qe8qzzHdKskXk13xbmCU38VYpnCQ/uKKqImidnDbvwvh6sH1eMN4Xi8H1ApfWq7W8M3VfBn3X34G9V7mZc/NS4G5GSQddx1PBJpqOoLDdjF3pvyn2wyDvC1wg8SaR49pj0F0S+PI8Ik4QnhLMBvFM5O7BWvJ12yrBQHD5rpqFXTX97pfskom43cHIj7lNOc+98TgKUCnre+L3QGEIJagfITebHjuScmPXf873BMWoAOyTv/Ny0nhHm8Y27LM8Ls/b2rtNwn4BITpbg4aPAQ+P+pssVL4+fU16/hln/weow+jeTgnH4PKAaetX0t1e6d/mjodsNnM9wcZYNO7J8GfsVeKTr2CAmZtgx2RMeC3AY4uw0qBdT5kCCx2exJXimsT48pz+xpgdK8kyBZzLwQfth1hrYLpOI9xjWjONt4pq9GRVlkTiMR1tBQ6+a/sbWfZ4/GrrNyi9RrYFJqUXg0jhi9zsPP2Dv+iDeKsXRj/5WzZ8a8kqj144MoRTX/jMRbnavGL2/qe1XngUcH/72eKsSR7/6WzV/msgrQ+YfMS5t6/95gmyPyf6M52+Jt0px9KO/VfRnnf0Gj0JHwSXpl8UAAAGCdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkE8L21pPjxtbz49PC9tbz48bW8+ezwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+LDwvbW8+PG1uPjM8L21uPjxtaT54PC9taT48bW8+LDwvbW8+PG1uPjQ8L21uPjxtaT54PC9taT48bW8+LDwvbW8+PG1uPjU8L21uPjxtaT54PC9taT48bWk+eTwvbWk+PG1vPiw8L21vPjxtbj43PC9tbj48bWk+eDwvbWk+PG1vPiw8L21vPjxtbj45PC9tbj48bWk+eTwvbWk+PG1vPiw8L21vPjxtbj4xMjwvbW4+PG1pPng8L21pPjxtaT55PC9taT48bW8+LDwvbW8+PG1uPjEzPC9tbj48bWk+eDwvbWk+PG1vPiw8L21vPjxtbj4xNTwvbW4+PG1pPng8L21pPjxtbz59PC9tbz48L21hdGg+UA34XQAAAABJRU5ErkJggg==)
Find a subset of A such that the GCF of its elements is 2x.
Consider the following set of monomials.
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find a subset of A such that the GCF of its elements is 2x.
Maths-General
Maths-
Express in the form of a single algebraic expression: (3x + 4y) (4x2y + 3xy2)
Express in the form of a single algebraic expression: (3x + 4y) (4x2y + 3xy2)
Maths-General
Maths-
Consider the following set of monomials.
![](data:image/png;base64,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)
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find a subset of A such that the GCF of its elements is 1 .
Consider the following set of monomials.
![](data:image/png;base64,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)
![A equals left curly bracket 2 x comma 3 x comma 4 x comma 5 x y comma 7 x comma 9 y comma 12 x y comma 13 x comma 15 x right curly bracket](data:image/png;base64,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)
Find a subset of A such that the GCF of its elements is 1 .
Maths-General
Maths-
Simplify: (x + y)(2x + y) + (x + 2y)(x – y)
Simplify: (x + y)(2x + y) + (x + 2y)(x – y)
Maths-General
Maths-
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9
Maths-General
Maths-
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
35, 120, 125
Maths-General
Maths-
Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39
Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39
Maths-General
Maths-
Simplify the expression 4yx + 2yx - 28yx + 3yx
Simplify the expression 4yx + 2yx - 28yx + 3yx
Maths-General
Maths-
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11
Maths-General
Maths-
Factor out the GCF from the given polynomial.
![3 x cubed y squared minus x z to the power of 4 plus 8 y squared z](data:image/png;base64,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)
Factor out the GCF from the given polynomial.
![3 x cubed y squared minus x z to the power of 4 plus 8 y squared z](data:image/png;base64,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)
Maths-General