Exercise 2 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.

(a)(a)+(a)(- 5)+(1)(a)+(1)(- 5)

MultByOne

a * 1=a

(a)(a)+(a)(- 5)+a-5

MultPosNeg

a(- b)=- a * b

(a)(a) -5a + a -5

Multiply

Multiply

a^2 -5a + a -5

SubTerms

Subtract terms

a^2-4a-5