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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 3 Page 30

Recall the pattern for the square of a binomial.

4x^2+28xy+49y^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.

(2x+7y)^2

ExpandPosPerfectSquare

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

(2x)^2+2(2x)(7y)+(7y)^2

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

2^2x^2+2(2x)(7y)+7^2y^2

Multiply

2^2x^2+28xy+7^2y^2

Calculate power

4x^2+28xy+49y^2

Subchapter links

Exercises p.30-33