Question

What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?

Answer 1

1 Remove parentheses.

{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x

4

(3x

2

−2)(4x

2

+5x)

2 Expand by distributing terms.

(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x

6

−2x

4

)(4x

2

+5x)

3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x

8

+15x

7

−8x

6

−10x

5