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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 39 Page 31

Apply the difference of two squares.

64a^4-81b^6

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.

(8a^2-9b^3)(8a^2+9b^3)

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

(8a^2)^2-(9b^3)^2

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

8^2(a^2)^2-9^2(b^3)^2

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

8^2a^4-9^2b^6

Calculate power

64a^4-81b^6

Subchapter links

Exercises p.30-33