What is (x^2-9)/(x^2+10x+21) ?

The solution to (x^2-9)/(x^2+10x+21) is (x-3)/(x+7)

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simplify (x^2-9)/(x^2+10x+21)

simplify

\frac{x ^{2} - 9}{x ^{2} + 10 x + 21}

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

Solution steps

\frac{x ^{2} - 9}{x ^{2} + 10 x + 21}

Factor

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

= \frac{( x + 3 ) ( x - 3 )}{x ^{2} + 10 x + 21}

Factor

x^{2} + 10 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}

2 \frac{1}{2} \cdot 5

2 + 7

(x + 2) (x - 4) (x + 3)

\frac{120}{40}

\frac{- 4 x ^{2}}{x}

What is (x^2-9)/(x^2+10x+21) ?
The solution to (x^2-9)/(x^2+10x+21) is (x-3)/(x+7)