What is (x^2+x-6)/(x^2-4x-21) ?

The solution to (x^2+x-6)/(x^2-4x-21) is (x-2)/(x-7)

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simplify (x^2+x-6)/(x^2-4x-21)

simplify

\frac{x ^{2} + x - 6}{x ^{2} - 4 x - 21}

\frac{x - 2}{x - 7}

Solution steps

\frac{x ^{2} + x - 6}{x ^{2} - 4 x - 21}

Factor

x^{2} + x - 6 : (x - 2) (x + 3)

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

Factor

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

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

Cancel the common factor:

x + 3

= \frac{x - 2}{x - 7}

lo g_{10} (5) (5)

3^{x} - 3^{x - 1} - 3 x^{x - 2}

- 1 + 24

- 1 + 15

What is (x^2+x-6)/(x^2-4x-21) ?
The solution to (x^2+x-6)/(x^2-4x-21) is (x-2)/(x-7)