What is (x^2+4x-21)/(x^2-8x+15) ?

The solution to (x^2+4x-21)/(x^2-8x+15) is (x+7)/(x-5)

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simplify (x^2+4x-21)/(x^2-8x+15)

simplify

\frac{x ^{2} + 4 x - 21}{x ^{2} - 8 x + 15}

\frac{x + 7}{x - 5}

Solution steps

\frac{x ^{2} + 4 x - 21}{x ^{2} - 8 x + 15}

Factor

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

= \frac{( x - 3 ) ( x + 7 )}{x ^{2} - 8 x + 15}

Factor

x^{2} - 8 x + 15 : (x - 3) (x - 5)

= \frac{( x - 3 ) ( x + 7 )}{( x - 3 ) ( x - 5 )}

Cancel the common factor:

x - 3

= \frac{x + 7}{x - 5}

\frac{1}{8} \cdot 3

(3 m - 2 n)^{3}

(8 - 2 x)^{2}

\frac{2}{3} \times \frac{3}{2}

\frac{\frac{3 x}{2 x}}{\frac{x ^{2} - 81}{x ^{2} + 11 x + 18}}

What is (x^2+4x-21)/(x^2-8x+15) ?
The solution to (x^2+4x-21)/(x^2-8x+15) is (x+7)/(x-5)