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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

9. Perfect Squares

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Exercise 30 Page 69

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

(2r-1)(r+6)(r-6)

Practice makes perfect

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

2r^3 - r^2-72r+36

Factor out r^2

r^2(2r-1) - 72r + 36

Factor out - 36

r^2(2r-1)-36(2r-1)

Notice that (2r-1) is a factor of both terms, so we can factor it out.

r^2(2r-1)-36(2r-1)

Factor out ( 2r-1 )

( 2r-1 ) ( r^2-36 )

a^2-b^2=(a+b)(a-b)

(2r-1)(r+6)(r-6)

Subchapter links

Exercises p.68-71