Question

Simplify:(X −2)(X+2)(X2 +4)(X4 +16).


PLEASE SHOW ALL PROCESS.IF THE ANSWER WILL BE CORRECT I WILL MARK BRAINLIEST

Answer 1

(X −2)(X+2)(X2 +4)(X4 +16).

using (a-b)(a+b)=a^2-b^2

or (X^2 −4)(X2 +4)(X4 +16).

 using the same identity

or (X^4 −16)(X4 +16)

using the same identity

or (X^8 −256)

Answer 2

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Simplify $(x - 2)(x + 2)( {x}^{2} + 4)( {x}^{4} + 16)$

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

$(x - 2)(x + 2)( {x}^{2} + 4)( {x}^{4} + 16)$

$= ( {x}^{2} - 4)( {x}^{2} + 4)( {x}^{4} + 16)$

$= ( {x}^{4} - 16)( {x}^{4} + 16)$

$= {x}^{8} - 256$

$\star\:\:\:\bf\large\underline\blue{Identity\:Used:-}$

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

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• ${x}^{8} - 256$