What is (x+3)/4*(3x-18)/(3x+9) ?

The solution to (x+3)/4*(3x-18)/(3x+9) is (x-6)/4

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simplify (x+3)/4*(3x-18)/(3x+9)

simplify

\frac{x + 3}{4} \cdot \frac{3 x - 18}{3 x + 9}

\frac{x - 6}{4}

Solution steps

\frac{x + 3}{4} \cdot \frac{3 x - 18}{3 x + 9}

Cancel

\frac{3 x - 18}{3 x + 9} : \frac{x - 6}{x + 3}

= \frac{x + 3}{4} \cdot \frac{x - 6}{x + 3}

Cross-cancel common factor:

x + 3

= \frac{x - 6}{4}

- \frac{16}{- 4}

2 lo g_{3} (3)

lo g_{2} (4) + lo g_{2} (6) - lo g_{2} (3)

\frac{45}{90}

\frac{45}{72}

What is (x+3)/4*(3x-18)/(3x+9) ?
The solution to (x+3)/4*(3x-18)/(3x+9) is (x-6)/4