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McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Using the Distributive Property
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Exercise 37 Page 40

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

2(8u-15)(3t+2)

Practice makes perfect

To factor by grouping, we will take the greatest common factor of all terms, then the GCF of the first pair of terms and the greatest common factor of the second pair of terms.

48tu-90t+32u-60
FactorOut

Factor out 2

2( 24tu - 45t+16u-30)
FactorOut

Factor out 3t

2(3t(8u-15) + 16u - 30)
FactorOut

Factor out 2

2(3t(8u-15)+2(8u-15))

Notice that (8u-15) is a factor of both terms, so we can factor it out.

2(3t(8u-15)+2(8u-15))
FactorOut

Factor out (8u-15)

2((8u-15)(3t+2))
AssociativePropMult

Associative Property of Multiplication

2(8u-15)(3t+2)
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