Q. Expand.Your answer should be a polynomial in standard form.(−a+1)(5a+6)=
Multiplying terms inside parentheses: Now, we will multiply each term inside the parentheses by the term outside.−a(5a)=−5a2 (Multiplying −a with 5a)−a(6)=−6a (Multiplying −a with 6)1(5a)=5a (Multiplying 1 with 5a)1(6)=6 (Multiplying 1 with 6)
Combining like terms: Next, we will combine the like terms from the multiplication results. −5a2−6a+5a+6
Writing in standard form: Combining the like terms −6a and 5a gives us −1a, or simply −a.−5a2−6a+5a+6=−5a2−a+6
Final answer: The expression is now fully expanded and simplified. We write it in standard form, which means the terms are in descending order of the exponents.The final answer is −5a2−a+6.