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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 38 Page 31

Recall the pattern for the square of a binomial.

25x^4-10x^2y^2+y^4

Practice makes perfect

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

(5x^2-y^2)^2

ExpandNegPerfectSquare

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

(5x^2)^2-2(5x^2)(y^2)+(y^2)^2

Multiply

(5x^2)^2-10x^2y^2+(y^2)^2

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

5^2(x^2)^2-10x^2y^2+(y^2)^2

(a^m)^n=a^(m* n)

5^2x^4-10x^2y^2+y^4

Calculate power

25x^4-10x^2y^2+y^4

Subchapter links

Exercises p.30-33