Question

What is the standard form of `y= -(x+5)^2(-x-1)`?

Answer 1

`y= x^3 +11x^2 +25x + 35`

Explanation:

`y=-(x+5)^2(-x-1)`

Factor the negative sign out of the second term:
`y=-(x+5)^2(-1)(x+1)`

`y=(x+5)^2(x+1)`

Distribute each term to expand:
`y= (x^2+10x+25)(x+1)`

`y= (x^3+x^2) + (10x^2+10) + (25x+25)`

Combine like terms to get standard form:
`y= x^3 +11x^2 +25x + 35`