What is (x^2-9)/(x^2+4x-21) ?

The solution to (x^2-9)/(x^2+4x-21) is (x+3)/(x+7)

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simplify (x^2-9)/(x^2+4x-21)

simplify

\frac{x ^{2} - 9}{x ^{2} + 4 x - 21}

\frac{x + 3}{x + 7}

Solution steps

\frac{x ^{2} - 9}{x ^{2} + 4 x - 21}

Factor

x^{2} - 9 : (x + 3) (x - 3)

= \frac{( x + 3 ) ( x - 3 )}{x ^{2} + 4 x - 21}

Factor

x^{2} + 4 x - 21 : (x - 3) (x + 7)

= \frac{( x + 3 ) ( x - 3 )}{( x - 3 ) ( x + 7 )}

Cancel the common factor:

x - 3

= \frac{x + 3}{x + 7}

lo g_{2} (x) \cdot lo g_{2} (x)

x^{3} - 11 x

75 \cdot 915

x \cdot 2 x

- 12 \cdot 2

What is (x^2-9)/(x^2+4x-21) ?
The solution to (x^2-9)/(x^2+4x-21) is (x+3)/(x+7)