Exercise 3 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.

(q)(3q) + (q)(-4)+(-9)(3q) + (-9)(-4)

MultPosNeg

a(- b)=- a * b

(q)(3q) -4q +(-9)(3q) + (-9)(-4)

MultNegPos

(- a)b = - ab

(q)(3q) -4q - 27q + (-9)(-4)

MultNegNegOnePar

- a(- b)=a* b

(q)(3q) -4q - 27q + 36

Multiply

Multiply

3q^2 -4q - 27q + 36

SubTerms

Subtract terms

3q^2 -31q +36