SOLUTION: Essay: Show all work. Find the following product: (x^2 + 7)(x^3 - x + 7)

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Question 550346: Essay: Show all work. Find the following product:
(x^2 + 7)(x^3 - x + 7)
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2 + 7)(x^3 - x + 7)
x%5E2%28x%5E3-x%2B7%29%2B7%28x%5E3-x%2B7%29

x%5E5-x%5E3%2B7x%5E2%2B7x%5E3-7x%2B49
add up like terms
x%5E5%2B6x%5E3%2B7x%5E2-7x%2B49

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the following product:
(x^2 + 7)(x^3 - x + 7)
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x^2(x^3 - x + 7) + 7(x^3 - x + 7)
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= x^5 - x^3 + 7x^2 + 7x^3 - 7x + 49
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= x^5 + 6x^3 + 7x^2 - 7x + 49
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Cheers,
Stan H.
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