What is (\frac{x^2-6x-16)/(x^2+4x-21)}{(x^2+9x+14)/(x^2-8x+15)} ?

The solution to (\frac{x^2-6x-16)/(x^2+4x-21)}{(x^2+9x+14)/(x^2-8x+15)} is ((x-8)(x-5))/((x+7)^2)

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simplify (\frac{x^2-6x-16)/(x^2+4x-21)}{(x^2+9x+14)/(x^2-8x+15)}

simplify

\frac{\frac{x ^{2} - 6 x - 16}{x ^{2} + 4 x - 21}}{\frac{x ^{2} + 9 x + 14}{x ^{2} - 8 x + 15}}

\frac{( x - 8 ) ( x - 5 )}{( x + 7 ) ^{2}}

Solution steps

\frac{\frac{x ^{2} - 6 x - 16}{x ^{2} + 4 x - 21}}{\frac{x ^{2} + 9 x + 14}{x ^{2} - 8 x + 15}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( x ^{2} - 6 x - 16 ) ( x ^{2} - 8 x + 15 )}{( x ^{2} + 4 x - 21 ) ( x ^{2} + 9 x + 14 )}

Cancel

\frac{( x ^{2} - 6 x - 16 ) ( x ^{2} - 8 x + 15 )}{( x ^{2} + 4 x - 21 ) ( x ^{2} + 9 x + 14 )} : \frac{( x - 8 ) ( x - 5 )}{( x + 7 ) ^{2}}

= \frac{( x - 8 ) ( x - 5 )}{( x + 7 ) ^{2}}

3 (8)

- 5 x^{3} y^{2} - 4 x^{2} + 6 y^{2} + 4 x^{3} y^{2} - 24 x^{2} + 7 y^{2}

\frac{x}{1 + \frac{1}{1 + \frac{1}{x}}}

\frac{2 x ^{2} + 10 x - 48}{8 x + 64}

6 y^{4} + 5 y^{2} - 6

What is (\frac{x^2-6x-16)/(x^2+4x-21)}{(x^2+9x+14)/(x^2-8x+15)} ?
The solution to (\frac{x^2-6x-16)/(x^2+4x-21)}{(x^2+9x+14)/(x^2-8x+15)} is ((x-8)(x-5))/((x+7)^2)