Question

How do you perform the indicated operation?(4y + 11)(3y² -2y -7)

Answer 1

$(4y+11)(3y^2-2y-7)$

we use distributive property

$(4y\times3y^2)+(4y\times-2y)+(4y\times-7)+(11\times3y^2)+(11\times-2y)+(11\times-7)$$\begin{gathered} (12y^3)+(-8y^2)+(-28y)+(33y^2)+(-22y)+(-77) \\ 12y^3-8y^2+33y^2-28y-22y-77 \\ 12y^3+25y^2-50y-77 \end{gathered}$