Multiplication of Two Binomials Examples Page 1

Find (xy + y²)(2x + 9y).

Distribute (xy + y²) over (2x + 9y) to find

(xy + y²)(2x) + (xy + y²)(9y)

Distribute further to get

(xy)(2x) + (y²)(2x) + (xy)(9y) + (y²)(9y)

and then simplify for

2x²y + 2xy² + 9xy² + 9y³

which can be combined further to give us

2x²y + 11xy² + 9y³.