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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 37 Page 31

Apply the difference of two squares.

9a^8-b^2

Practice makes perfect

Notice that the given expression is the multiplication of conjugates. This allows us to use a shorter method of multiplying the terms than the normal distribution process.

(3a^4-b)(3a^4+b)

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

(3a^4)^2-b^2

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

3^2(a^4)^2-b^2

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

3^2a^8-b^2

Calculate power

9a^8-b^2

Subchapter links

Exercises p.30-33