Question

(x+2)^3+(x-2)^3 what will be the answer of this?

Answer 1

Answer:

Let

a = x+2

b = x-2

$a^3 \: + \: b^3$ = (a+b)($a^{2}\: - \: ab\: + \: b^{2}$)

$\implies$ (x+2+x-2)[(x+2)²-(x+2)(x-2)+(x-2)²]

$\implies$ (2x)[x²+2²+4x -x²+2²+x²+2²-4x]

$\implies$ (2x)[x²+x²-x²+4+4+4+4x-4x]

$\implies$ (2x)[x²+12]

$\boxed{\implies (2x)[x²+6]}$

Answer 2

answer

2x(x²+12)

Step-by-step explanation:

A³+B³= (À+B) ( A²-AB+B²)

using this formula

(x+2)³+(x-2)³

= (x+2+x-2) [ ( x+2)²- (x²-2²)+ (x-2)²]

= 2x[ (2x²+2×2²) - (x²-2²) ]

= 2x ( 2x²-x²+8+4)

=> 2x( x²+12)

formula used

(A+B)² + (A-B)² = 2A²+2B²

( A+B) (A-B) = A²- B²