What is (3x^2-4x-15)/(x^2-5x+6) ?

The solution to (3x^2-4x-15)/(x^2-5x+6) is (3x+5)/(x-2)

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simplify (3x^2-4x-15)/(x^2-5x+6)

simplify

\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6}

\frac{3 x + 5}{x - 2}

Solution steps

\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6}

Factor

3 x^{2} - 4 x - 15 : (3 x + 5) (x - 3)

= \frac{( 3 x + 5 ) ( x - 3 )}{x ^{2} - 5 x + 6}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

= \frac{( 3 x + 5 ) ( x - 3 )}{( x - 2 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{3 x + 5}{x - 2}

\frac{3 x ^{2} + 2 x - 8}{x + 2}

(x^{4} - 2 x^{2} + 2) \cdot (x^{2} - 2 x + 3)

(6 x - 5 y)^{2}

f (x + h)

\frac{\frac{x - 1}{3}}{\frac{2 x - 2}{6}}

What is (3x^2-4x-15)/(x^2-5x+6) ?
The solution to (3x^2-4x-15)/(x^2-5x+6) is (3x+5)/(x-2)