Q. Expand.Your answer should be a polynomial in standard form.(9h+3)(−h−1)=
Apply distributive property: Apply the distributive property to expand the expression (9h+3)(−h−1).Distribute each term in the first polynomial (9h+3) with each term in the second polynomial (−h−1).(9h+3)(−h−1)=9h(−h)+9h(−1)+3(−h)+3(−1)
Multiply the terms: Multiply the terms from the previous step.9h(−h)=−9h2 (Multiplying 9h by −h gives −9h2)9h(−1)=−9h (Multiplying 9h by −1 gives −9h)3(−h)=−3h (Multiplying 3 by −h gives 9h1)9h2 (Multiplying 3 by −1 gives 9h5)
Combine like terms: Combine the like terms from the multiplication results.−9h2−9h−3h−3Combine −9h and −3h to get −12h.−9h2−12h−3
Write final answer: Write the final answer in standard form, which is the form of a polynomial arranged by descending powers of h.The final answer is −9h2−12h−3.