What is (7x^3-9x^2-10x)/(6x^2-15x+6) ?

The solution to (7x^3-9x^2-10x)/(6x^2-15x+6) is (x(7x+5))/(3(2x-1))

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simplify (7x^3-9x^2-10x)/(6x^2-15x+6)

simplify

\frac{7 x ^{3} - 9 x ^{2} - 10 x}{6 x ^{2} - 15 x + 6}

\frac{x ( 7 x + 5 )}{3 ( 2 x - 1 )}

Solution steps

\frac{7 x ^{3} - 9 x ^{2} - 10 x}{6 x ^{2} - 15 x + 6}

Factor

7 x^{3} - 9 x^{2} - 10 x : x (7 x + 5) (x - 2)

= \frac{x ( 7 x + 5 ) ( x - 2 )}{6 x ^{2} - 15 x + 6}

Factor

6 x^{2} - 15 x + 6 : 3 (2 x - 1) (x - 2)

= \frac{x ( 7 x + 5 ) ( x - 2 )}{3 ( 2 x - 1 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{x ( 7 x + 5 )}{3 ( 2 x - 1 )}

(1 + d)^{- 1}

(x - 3)^{13} + (x - 3^{2})^{13}

\frac{1}{( x - 5 )} + \frac{2}{( x + 2 )}

\frac{1}{( a + b )}

\frac{3}{4} \cdot x^{2} \cdot y - \frac{8}{9} \cdot x \cdot y^{2}

What is (7x^3-9x^2-10x)/(6x^2-15x+6) ?
The solution to (7x^3-9x^2-10x)/(6x^2-15x+6) is (x(7x+5))/(3(2x-1))