What is (6x(x+4))/(x-3)*((x-3)(x-6))/(6x(x-6)) ?

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

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simplify (6x(x+4))/(x-3)*((x-3)(x-6))/(6x(x-6))

simplify

\frac{6 x ( x + 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x - 6 )}{6 x ( x - 6 )}

x + 4

Solution steps

\frac{6 x ( x + 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x - 6 )}{6 x ( x - 6 )}

Cancel the common factor:

x - 6

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

Cross-cancel common factor:

x - 3

= \frac{6 x ( x + 4 )}{6 x}

Cancel

\frac{6 x ( x + 4 )}{6 x} : x + 4

= x + 4

1 + (- 7)

4 x^{2} + 4 y^{2}

72 \div 18

545 - 880 + 420 + 25

4 \frac{2}{9} + 2 \frac{1}{6}

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