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)

Algebra ->  Polynomials-and-rational-expressions -> 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)      Log On


   

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) About Me  (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.