Question

Identify the excluded values of this product. Then rewrite the product in simplest form.

Answer 1

`\frac{6 {y}^(2) + 18y - 60 }{3 {y}^(2) - 12y } * \frac{ {y}^(2) - 16 }{ {y}^(2) + 2y - 8} \\ \\ \frac{ {6y + 30y - 12y - 60}^(2) }{3y(y - 4)} * \frac{ {(y)}^(2) - ( {4)}^(2) }{ {y}^(2) + 4y - 2y - 8 } \\ \\ (6y(y + 5) - 12(y + 5))/(3y(y - 4)) * ((y + 4)(y - 4))/(y(y + 4) - 2(y + 4)) \\ \\ ((6y - 12)(y + 5))/(3y(y - 4)) * ((y + 4)(y - 4))/((y + 4)(y - 2)) \\ \\ (6(y - 2)(y + 5))/(3y(y - 2)) \\ \\ (2(y + 5))/(y) .`