consider the expression -3(y - 5)^2 - 9 + 7y. which statements are true about the process and simplified…

consider the expression -3(y - 5)^2 - 9 + 7y. which statements are true about the process and simplified product? check all that apply. the first step in simplifying is to distribute the -3 throughout the parentheses. there are 3 terms in the simplified product. the simplified product is a degree 3 polynomial. the final simplified product is -3y^2 + 7y - 9. the final simplified product is -3y^2 + 37y - 84.

consider the expression -3(y - 5)^2 - 9 + 7y. which statements are true about the process and simplified product? check all that apply. the first step in simplifying is to distribute the -3 throughout the parentheses. there are 3 terms in the simplified product. the simplified product is a degree 3 polynomial. the final simplified product is -3y^2 + 7y - 9. the final simplified product is -3y^2 + 37y - 84.

Answer

Explanation:

Step1: Expand $(y - 5)^2$

$(y - 5)^2=y^{2}-10y + 25$

Step2: Multiply by - 3

$-3(y - 5)^2=-3(y^{2}-10y + 25)=-3y^{2}+30y-75$

Step3: Combine like - terms

$-3(y - 5)^2-9 + 7y=-3y^{2}+30y-75-9 + 7y=-3y^{2}+(30y + 7y)-(75 + 9)=-3y^{2}+37y-84$

The simplified product $-3y^{2}+37y - 84$ has 3 terms and is a degree 2 polynomial.

The first step is not to distribute - 3 through the parentheses but to expand $(y - 5)^2$.

Answer:

There are 3 terms in the simplified product. The final simplified product is $-3y^{2}+37y - 84$.