Multiplication of Two Binomials Examples Page 2

Find the product (4x² + 10x)(2x + 3).

Let's FOIL it up.

The product of the first terms is

(4x²)(2x)=8x³

The product of the outside terms is

(4x²)(3)=12x²

The product of the inside terms is

(10x)(2x)=20x²

The product of the last terms is

(10x)(3)=30x

Adding the little products yields

8x³ + 12x² + 20x² + 30x

which simplifies to

8x³ + 32x² + 30x.