Question

What is the standard form of `y= (x^2-4)(2x+9) -(x+5)^2`?

Answer 1

`2x^3 + 8x^2 -18x - 61`

Explanation:

Multiply both factors:
`2x^3 + 9x^2 - 8x - 36 - (x^2 + 10x + 25)`

Distribute the negative sign through the terms in the parenthesis:
`2x^3 + 9x^2 - 8x - 36 - x^2 -10x -25`

Consolidate like terms:
`2x^3 + (9x^2 - x^2) + (-8x - 10x) + (-36 - 25)`
`2x^3 + 8x^2 -18x - 61`