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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

8. Differences of Squares

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Exercise 89 Page 63

Use the polynomial identities to expand the square of a binomial.

16x^2+40x+25

Practice makes perfect

We can find the product of this expression using polynomial identities. Let's start by rewriting the expression as a square of a binomial. (4x+5)(4x+5)=(4x+5)^2 Now, we have the square of a binomial. Let's expand it!

(4x+5)^2

ExpandPosPerfectSquare

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

(4x)^2+2 * 4x * 5+5^2

Calculate power

16x^2+2 * 4x * 5+25

Multiply

16x^2+40x+25

Subchapter links

Exercises p.60-63