SOLUTION: Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (5x^2 - 7)(5x^2 + 7)
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Question 1035736: Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (5x^2 - 7)(5x^2 + 7)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
(5x^2 - 7) * (5x^2 + 7) is equal to:
5x^2 * (5x^2 + 7) - 7 * (5x^2 + 7).
the first part this is 5x^2 * (5x^2 + 7).
5x^2 * (5x^2 + 7) is equal to 5x^2 * 5x^2 + 5x^2 * 7.
simplify this to get 25x^4 + 35x^2.
the second part of this is - 7 * (5x^2 + 7).
- 7 * (5x^2 + 7) is equal to -7 * 5x^2 - 7 * 7.
simplify this to get -35x^2 - 49.
put these 2 pieces together to get 25x^4 + 35x^2 - 35x^2 - 49.
combine like terms to get 25x^4 - 49.
the simplified expression is 25x^4 - 49.
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