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McGraw Hill Integrated II, 2012 View details

5. Using the Distributive Property

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Exercise 7 Page 39

Rewrite the given expression so that it is easier to make groups.

( b+5 ) ( 3c-2 )

Practice makes perfect

Let's start by rewriting the given expression so terms with common factors are near one another. 3bc -2b -10 +15c ⇔ 3bc +15c -2b -10Now we will take the greatest common factor of each group so we can factor by grouping.

3bc +15c-2b-10

FactorOut

Factor out 3c

3c(b+5) -2b -10

FactorOut

Factor out - 2

3c(b+5)-2(b+5)

Notice that (b+5) is a factor of both terms, so we can factor it out.

3c(b+5)-2(b+5)

FactorOut

Factor out (b+5)

(b+5)(3c-2)