What is (-6y-18)/(2y^2+5y-3)*(4y^2-4y+1)/(6y-3) ?

The solution to (-6y-18)/(2y^2+5y-3)*(4y^2-4y+1)/(6y-3) is -2

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simplify (-6y-18)/(2y^2+5y-3)*(4y^2-4y+1)/(6y-3)

simplify

\frac{- 6 y - 18}{2 y ^{2} + 5 y - 3} \cdot \frac{4 y ^{2} - 4 y + 1}{6 y - 3}

- 2

Solution steps

\frac{- 6 y - 18}{2 y ^{2} + 5 y - 3} \cdot \frac{4 y ^{2} - 4 y + 1}{6 y - 3}

Cancel

\frac{- 6 y - 18}{2 y ^{2} + 5 y - 3} : - \frac{6}{2 y - 1}

= - \frac{6}{2 y - 1} \cdot \frac{4 y ^{2} - 4 y + 1}{6 y - 3}

Cancel

\frac{4 y ^{2} - 4 y + 1}{6 y - 3} : \frac{2 y - 1}{3}

= - \frac{6}{2 y - 1} \cdot \frac{2 y - 1}{3}

Cross-cancel common factor:

2 y - 1

= - \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

= - 2

\frac{sin ( x ) csc ( x )}{tan ( x )}

\frac{4 x ^{2} - 12 x + 9}{8 x ^{2} - 18}

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

\frac{7 x - 14}{x - 2}

\frac{4}{9 x ^{2} - 45 x} - \frac{6 x}{x ^{2} - 25}

What is (-6y-18)/(2y^2+5y-3)*(4y^2-4y+1)/(6y-3) ?
The solution to (-6y-18)/(2y^2+5y-3)*(4y^2-4y+1)/(6y-3) is -2