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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x - 3 ) ( x + 7 )}{x ^{2} - 9}

Factor

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

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

Cancel the common factor:

x - 3

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

\frac{4}{4}

1 x + 1 x

(3 + i) (- 1 - i)

- 12 + (- 9)

(θ + w i)^{3}

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