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.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Maintaining Mathematical Proficiency

Continue to next subchapter

Exercise 6 Page 527

The acronym FOIL stands for First, Outer, Inner, and Last.

18b^2 -54b + 40

Practice makes perfect

We want to simplify the given product using the FOIL method. Recall that the acronym F OI L stands for First, Outer, Inner, and Last.

Let's now simplify the expression by multiplying and combining like terms.

(8)(5) + (8)(- 3 b) + (- 6 b)(5) + (- 6 b)(- 3 b)

a(- b)=- a * b

(8)(5) -24b + (- 6 b)(5) + (- 6 b)(- 3 b)

(- a)b = - ab

(8)(5) -24b -30b + (- 6 b)(- 3 b)

MultNegNegOnePar

- a(- b)=a* b

(8)(5) - 24b -30b + 18b^2

Multiply

40 - 24b -30b + 18b^2

CommutativePropAdd

Commutative Property of Addition

18b^2 -24b -30b + 40

Add terms

18b^2 -54b + 40

Subchapter links

Exercises p.527