How do you factor the expression $x^{2} - 49$ $x^2 - 49$ ?

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How do you factor the expression $x^{2} - 49$ $x^2 - 49$ ?

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Answer 1 · 2015-12-03T04:30:43

Apply the difference of squares formula to find
$x^{2} - 49 = (x + 7) (x - 7)$ $x^2 - 49 = (x+7)(x-7)$

Explanation:

The difference of squares formula states that
$a^{2} - b^{2} = (a + b) (a - b)$ $a^2 - b^2 = (a + b)(a-b)$
(multiply out the right hand side to verify this)

Applying this, we have
$x^{2} - 49 = x^{2} - 7^{2} = (x + 7) (x - 7)$ $x^2 - 49 = x^2 - 7^2 = (x+7)(x-7)$

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How do you factor the expression $x^{2} - 49$ $x^2 - 49$ ?

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How do you factor the expression $x^{2} - 49$ $x^2 - 49$ ?