Question

What is the standard form of `y= (2x-5)^3+(2x+3)^2`?

Answer 1

`y=8x^3-56x^2+162x-116`

Explanation:

First, let's factor:
`y=(2x-5)^3+(2x+3)^2`
`y=(2x-5)(2x-5)(2x-5)+(2x+3)(2x+3)`
Now, lets simplify:
`y=(4x^2-20x+25)(2x-5)+(4x^2+12x+9)`
`y=(8x^3-40x^2+50x-20x^2+100x-125)+(4x^2+12x+9)`
`y=(8x^3-60x^2+150x-125)+(4x^2+12x+9)`
Finally, Lets add up like terms:
`y=8x^3-56x^2+162x-116`