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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Special Products

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Exercise 40 Page 31

Recall the pattern for the square of a binomial.

9/16k^2+12k+64

Practice makes perfect

We can find the product of this expression using polynomial identities. In this case we have the square of a binomial.

(3/4k+8)^2

ExpandPosPerfectSquare

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

(3/4k)^2+2(3/4k)(8)+8^2

Multiply

(3/4k)^2+16(3/4k)+8^2

Calculate power

(3/4k)^2+16(3/4k)+64

(a b)^m=a^m b^m

(3/4)^2k^2+16(3/4k)+64

(a/b)^m=a^m/b^m

9/16k^2+16(3/4k)+64

MoveLeftFacToNum

a*b/c= a* b/c

9/16k^2+48/4k+64

a/b=.a /4./.b /4.

9/16k^2+12k+64

Subchapter links

Exercises p.30-33