Q. Expand.Your answer should be a polynomial in standard form.(−6d+6)(2d−2)=
Apply distributive property: Apply the distributive property to expand the expression (−6d+6)(2d−2).Distribute each term in the first polynomial (−6d+6) with each term in the second polynomial (2d−2).(−6d+6)(2d−2)=(−6d)(2d)+(−6d)(−2)+(6)(2d)+(6)(−2)
Multiply terms: Multiply the terms from Step 1.(−6d)(2d)=−12d2 (Multiplying −6d by 2d)(−6d)(−2)=+12d (Multiplying −6d by −2)(6)(2d)=+12d (Multiplying 6 by 2d)(6)(−2)=−12 (Multiplying 6 by −2)
Combine like terms: Combine like terms from Step 2.−12d2+12d+12d−12Combine the 12d and 12d to get 24d.−12d2+24d−12
Write final answer: Write the final answer in standard form, which is a polynomial arranged in descending order of degree.The final answer is −12d2+24d−12.