Question

X2y4(x2 - 16) - 9y4(x4 - 16)


simplify

Answer 1

Explanation:

given the expression

`x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)`

we proceed by opening the brackets

`x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\`

collet like terms we have

`x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4`

factoring we have

`8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4`