Exercise 6 Page 527

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)

MultPosNeg

a(- b)=- a * b

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

MultNegPos

(- a)b = - ab

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

MultNegNegOnePar

- a(- b)=a* b

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

Multiply

Multiply

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

CommutativePropAdd

Commutative Property of Addition

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

AddTerms

Add terms

18b^2 -54b + 40