What is (9x+5)/(3x-9)*(x-3)/(2x+10) ?

The solution to (9x+5)/(3x-9)*(x-3)/(2x+10) is (9x+5)/(3(2x+10))

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simplify (9x+5)/(3x-9)*(x-3)/(2x+10)

simplify

\frac{9 x + 5}{3 x - 9} \cdot \frac{x - 3}{2 x + 10}

\frac{9 x + 5}{3 ( 2 x + 10 )}

Solution steps

\frac{9 x + 5}{3 x - 9} \cdot \frac{x - 3}{2 x + 10}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 9 x + 5 ) ( x - 3 )}{( 3 x - 9 ) ( 2 x + 10 )}

Factor

3 x - 9 : 3 (x - 3)

= \frac{( 9 x + 5 ) ( x - 3 )}{3 ( x - 3 ) ( 2 x + 10 )}

Cancel the common factor:

x - 3

= \frac{9 x + 5}{3 ( 2 x + 10 )}

1 \frac{2}{3} + 3 \frac{4}{5}

2 x^{2} - 16 x + 14

\frac{- 3 x + 2}{4 x + 3} - \frac{2 x - 5}{4 x + 3}

\frac{1 + 6}{2 3}

\frac{7 x}{4} - \frac{3 x}{8}

What is (9x+5)/(3x-9)*(x-3)/(2x+10) ?
The solution to (9x+5)/(3x-9)*(x-3)/(2x+10) is (9x+5)/(3(2x+10))