Question

What is the standard form of `y= (2x+2)(4x+10)-4x^2+x`?

Answer 1

`y=4x^2+29x+20`

Explanation:

Given
`color(white)("XXX")y=(2x+2)(4x+10)-4x^2+x`
Expand the factors:
`color(white)("XXX")y=color(green)(8x^2+28x+20) -4x^2+x`
Combine terms with the same exponents of `x` in descending exponent order.
`color(white)("XXX")y=4x^2+29x+20`
This is "standard form": the degree of each term is greater than (or equal to) any term to the right of it (definition of standard form for a general polynomial).