Question

What is the standard form of `y= (x+4)^3-(2x+3)^2`?

Answer 1

`y = x^3 +8x^2 +36x +55`

Explanation:

Standard form requires that the expression is a list of factors in decreasing order of powers.
Therefore we need to expand this expression and simplify.
`y = (x+4)(x^2+8x +16) - (4x^2+12x + 9)`
`y = x^3 +8x^2 +16x +4x^2 +32x +64-4x^2 - 12x - 9`
`y = x^3 +8x^2 +36x +55`