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

The solution to (x^2-4)/(x^2+x-6) is (x+2)/(x+3)

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

simplify

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

\frac{x + 2}{x + 3}

Solution steps

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

Factor

x^{2} - 4 : (x + 2) (x - 2)

= \frac{( x + 2 ) ( x - 2 )}{x ^{2} + x - 6}

Factor

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

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

Cancel the common factor:

x - 2

= \frac{x + 2}{x + 3}

15 \cdot 5 \cdot 27

\frac{( 2 p ^{3} ) ^{2}}{10 p ^{3}}

(2 y^{3} - 2 y)^{3}

(a + 2) (3 a - 4)

lo g_{\frac{4}{3}} (1)