Question

Subtract 8y^2 - 5y + 7 from 2y^2 + 7y + 11 ?

Answer 1

Let's perform the subtraction of the polynomials below:

Subtract 8y²-5y+7 from 2y²+7y+11

This means the first polynomial will be subtracted from the first polynomial.

To subtract the polynomials, we have:

`(2y^2+7y+11)-(8y^2-5y+7)`

Apply distributive property:

`\begin{gathered} 2y^2+7y+11-8y^2-(-5y)-(7) \\ \\ 2y^2+7y+11-8y^2+5y-7 \end{gathered}`

Simplify by adding like terms:

`\begin{gathered} 2y^2-8y^2+7y+5y+11-7 \\ \\ -6y^2+12y+4 \end{gathered}`

ANSWER:

`-6y^2+12y+4`