Question

Find the product. (2a^2+b) (3a-3b) Enter the correct answer.

Answer 1

Answer:  6a^3-6a^2b+3ab-3b^2

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Work Shown:

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

c(3a-3b)  ..... let c = 2a^2+b

3ac-3bc  .... distribute

3a(c)-3b(c)

3a(2a^2+b)-3b(2a^2+b)  .... plug in c = 2a^2+b

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

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

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

You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.