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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 32 Page 82

Recall the pattern for the square of a binomial.

4r^2+20rt+25t^2

Practice makes perfect

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

(2r+5t)^2

ExpandPosPerfectSquare

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

(2r)^2+2(2r)(5t)+(5t)^2

Multiply

(2r)^2+20rt+(5t)^2

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

2^2r^2+20rt+5^2t^2

Calculate power

4r^2+20rt+25t^2

Subchapter links

1 Adding and Subtracting Polynomials p.81

2 Multiplying a Polynomial by a Monomial p.81

3 Multiplying Polynomials p.81

4 Special Products p.82

5 Using the Distributive Property p.82

6 Solving x^2+bx+c=0 p.83

7 Solving ax^2+bx+c=0 p.83

8 Differences of Squares p.84

9 Perfect Squares p.84

10 Roots and Zeros p.85