Q. Expand.Your answer should be a polynomial in standard form.(4−7y)(7+4y)=
Apply distributive property: Apply the distributive property to expand the expression (4−7y)(7+4y).We will multiply each term in the first parenthesis by each term in the second parenthesis.
Multiply first term by each term: Multiply the first term in the first parenthesis by each term in the second parenthesis.4×7=284×4y=16ySo we have 28+16y.
Multiply second term by each term: Multiply the second term in the first parenthesis by each term in the second parenthesis.−7y×7=−49y−7y×4y=−28y2So we have −49y−28y2.
Combine results from Step 2 and Step 3: Combine the results from Step 2 and Step 3.We have 28+16y−49y−28y2.
Combine like terms: Combine like terms.16y−49y=−33ySo we have 28−33y−28y2.