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 What is (4x2y3) (3x-7y)  ? I will post a series of questions like this so be prepared. Thank you to those who help.

 Oct 11, 2016
 #1
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Expand the following:
4 x^2 y^3 (3 x-7 y)

4 x^2 y^3 (3 x-7 y) = 4 x^2 y^3×3 x+4 x^2 y^3 (-7 y):
4×3 x^2 y^3 x-7×4 x^2 y^3 y

4 x^2 y^3×3 x = 4 x^(2+1) y^3×3:
4×3 x^(2+1) y^3-7×4 x^2 y^3 y

2+1 = 3:
4×3 x^3 y^3-7×4 x^2 y^3 y

4×3 = 12:
12 x^3 y^3-7×4 x^2 y^3 y

4 x^2 y^3 (-7) y = 4 x^2 y^(3+1) (-7):
12 x^3 y^3+-7×4 x^2 y^(3+1)

3+1 = 4:
12 x^3 y^3-7×4 x^2 y^4

4 (-7) = -28:
Answer: |12x^3y^3 - 28x^2y^4

 Oct 11, 2016
 #2
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Thank you,

 Oct 11, 2016

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