Question

x^4+12x^2+64 factorise it please​

Answer 1

Step-by-step explanation:

your question had some mistake I correct it and answered

Answer 2

$\mathfrak\red{\underline{Answer=\:(x^2 + 2x+8)(x^2-2x+8)}}$

$\rule{100}2$

$\sf x^4+12x^2+64$

$\sf= x^4 +(16-4)x^2+64\\\\ = x^4+16x^2-4x^2+64\\\\ =x^4+16x^2+64-4x^2$

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

We know that,

→ ( a )² - ( b )² = ( a + b ) ( a - b )

= (x^2 + 2x + 8 ) ( x^2 + 8 - 2x )

= ( x^2 + 2x + 8 ) ( x^2 - 2x + 8 )

Therefore,

Answer for this question is ( x² + 2x + 8 ) ( x^2 - 2x + 8 )

$\rule{200}2$