Multiply the polynomials (7y– 7) and (2y^2 – y + 6). Simplify the answer. Show your work.

Guest Sep 6, 2019

#1**+1 **

(7y-7)(2y^{2}-y+6) = (7y)(2y^{2}-y+6)+(-7)(2y^{2}-y+6)

Distrubute (2y^{2}-y+6) acrost (7y-7)

(7y)(2y^{2})+(7y)(-y)+(7y)(6)+(-7)(2y^{2})+(-7)(-y)+(-7)(6)

Distribute (7y) and (-7)

14y^{3}-7y^{2}+42y-14y^{2}+7y-42

Multiply, being careful with the negative signes and the powers of y

14y^{3}-21y^{2}+49y-42

Combine like terms to get the simplified answer

power27 Sep 6, 2019

#1**+1 **

Best Answer

(7y-7)(2y^{2}-y+6) = (7y)(2y^{2}-y+6)+(-7)(2y^{2}-y+6)

Distrubute (2y^{2}-y+6) acrost (7y-7)

(7y)(2y^{2})+(7y)(-y)+(7y)(6)+(-7)(2y^{2})+(-7)(-y)+(-7)(6)

Distribute (7y) and (-7)

14y^{3}-7y^{2}+42y-14y^{2}+7y-42

Multiply, being careful with the negative signes and the powers of y

14y^{3}-21y^{2}+49y-42

Combine like terms to get the simplified answer

power27 Sep 6, 2019