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What expression is equivalent to x^2 - 49

1 Answer

4 votes

Answer:

(x + 7)(x - 7)

Explanation:

We need to factor [ x² - 49 ]

The middle number is 0 and the last number is -49.

Factoring is when we fill in the blanks for [ (x + _)(x + _) ]

We need to know what goes in the blanks, we need to know:

  • two numbers that add to get 0
  • two number that multiplied together get -49

We can try 7 and -7.

7 + (-7) = 0

7 * (-7) = -49

This works, so fill in the blanks for the factor.

(x + 7)(x + (-7))

(x + 7)(x - 7)

Best of Luck!

User Mukesh Gami
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