Question

Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.

Answer 1

Answer:No, She did not use the distributive property correctly.

Answer 2

No, She did not use the distributive property correctly.

Explanation:

While multiplying
`(3-6y^2)(y^2+2)`, he did not use distributive property correctly. She only multiplied 3 with
`y^2` and not with 2. Also she multiplied
`-6y^2`only with 2 and not with
`y^2`.