multiplying binomials in two variables

multiply

(y+5z)(y+8z)

simplify your answer

(y+5z)(y+8z)

= y(y) + y(8z) + 5z(y) + 5z(8z)
= y^2 + 8yz + 5zy + 40z^2
= y^2 + 13yz + 40z^2