Q. Expand.Your answer should be a polynomial in standard form.(5n−5)(2+2n)=
Distribute first term: We distribute the first term of the first binomial, 5n, to both terms of the second binomial, 2 and 2n. 5n×2=10n5n×2n=10n2
Distribute second term: Next, we distribute the second term of the first binomial, −5, to both terms of the second binomial, 2 and 2n.−5×2=−10−5×2n=−10n
Combine terms: Now, we combine all the terms we have found to get the expanded form. 10n2+10n−10n−10
Cancel like terms: We notice that there are like terms that can be combined: 10n and −10n cancel each other out.10n2+(10n−10n)−1010n2−10
Final answer: The expression is now fully simplified and in standard form.The final answer is 10n2−10.