Q. Expand.Your answer should be a polynomial in standard form.(9+q)(8−q)=
Apply distributive property: Apply the distributive property to expand the expression (9+q)(8−q).Distribute each term in the first parenthesis by each term in the second parenthesis.(9+q)(8−q)=9(8)+9(−q)+q(8)+q(−q)
Multiply terms: Multiply the terms from the previous step.9(8)=729(−q)=−9qq(8)=8qq(−q)=−q2
Combine like terms: Combine like terms from the multiplication results. 72−9q+8q−q2Combine −9q and 8q to get −1q (or simply −q).72−q−q2