Multiply the polynomials (7y– 7) and (2y^2 – y + 6). Simplify the answer. Show your work.
(7y-7)(2y2-y+6) = (7y)(2y2-y+6)+(-7)(2y2-y+6)
Distrubute (2y2-y+6) acrost (7y-7)
(7y)(2y2)+(7y)(-y)+(7y)(6)+(-7)(2y2)+(-7)(-y)+(-7)(6)
Distribute (7y) and (-7)
14y3-7y2+42y-14y2+7y-42
Multiply, being careful with the negative signes and the powers of y
14y3-21y2+49y-42
Combine like terms to get the simplified answer
(7y-7)(2y2-y+6) = (7y)(2y2-y+6)+(-7)(2y2-y+6)
Distrubute (2y2-y+6) acrost (7y-7)
(7y)(2y2)+(7y)(-y)+(7y)(6)+(-7)(2y2)+(-7)(-y)+(-7)(6)
Distribute (7y) and (-7)
14y3-7y2+42y-14y2+7y-42
Multiply, being careful with the negative signes and the powers of y
14y3-21y2+49y-42
Combine like terms to get the simplified answer