Question

X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?

Answer 1

The simplified expression is given as

`8x^2y^4(17x^2-2)`

Explanation:

step one:

Given the expression

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

step two:

First, let us open the bracket we have

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

step three:

collect like terms we have

`x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\`

step four:

we can now factor out
`8x^2y^4`we have

`8x^2y^4(17x^2-2)`