Question

Factorise (x+2)^3+(x-2)^3

Answer 1

Heya

${(x + 2)}^{3} + {(x - 2)}^{3}$

$= (x + 2 + x - 2)( {(x + 2)}^{2} - (x + 2)(x - 2) + {(x - 2)}^{2} )$

$= 2x(2 {x}^{2} + 8 - {x}^{2} + 4)$

$= 2x( {x}^{2} + 12)$

Answer 2

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that $(x+2)^3+(x-2)^3$

To Find:-

We have to find that factorize

Solution:-

According to the problem

$(x+2)^3+(x-2)^3=(x+2+x-2)\{(x+2)^2-(x+2)(x-2)+(x-2)^2\}\\=2x(x^2+4x+4-(x^2-2^2)+x^2-4x+4)\\=2x(x^2+4x+4-x^2+4+x^2-4x+4)\\=2x(x^2+12)$

Final Answer:-

The correct answer is $2x(x^2+12)$.

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