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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 50 Page 32

Use the difference of cubes.

8a^3-12a^2b+6ab^2-b^3

Practice makes perfect

To simplify the given expression we will use the difference of cubes.

(2a-b)^3

(a-b)^3 = a^3-3a^2b+3ab^2-b^3

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

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

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

Calculate power

8a^3-3(4)a^2b+3(2a)b^2-b^3

Multiply

8a^3-12a^2b+6ab^2-b^3

Subchapter links

Exercises p.30-33