Answer :
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:
[tex](2y^2+7y+11)-(8y^2-5y+7)[/tex]Apply distributive property:
[tex]\begin{gathered} 2y^2+7y+11-8y^2-(-5y)-(7) \\ \\ 2y^2+7y+11-8y^2+5y-7 \end{gathered}[/tex]Simplify by adding like terms:
[tex]\begin{gathered} 2y^2-8y^2+7y+5y+11-7 \\ \\ -6y^2+12y+4 \end{gathered}[/tex]ANSWER:
[tex]-6y^2+12y+4[/tex]