body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Using the Distributive Property

Continue to next subchapter

Exercise 65 Page 42

Begin with the Distributive Property.

- 4x^4-4x^3+8x^2+4x

Practice makes perfect

To simplify the given expression, we will use the Distributive Property.

- 4x(x^3+x^2+2x-1)

Distribute - 4x

(- 4x)(x^3)+(- 4x)(x^2)+(- 4x)(2x)-(- 4x)(1)

(- a)b = - ab

- 4x^4-4x^3-8x^2-(- 4x)

- (- a)=a

- 4x^4-4x^3-8x^2+4x

Because none of the terms have the exact same combination of variables there are no like terms, and our expression cannot be simplified any further.

Subchapter links

Exercises p.39-42