What is (x(x+3))/(2x)(6(x+2))/(x^2+5x+6) ?

The solution to (x(x+3))/(2x)(6(x+2))/(x^2+5x+6) is 3

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simplify (x(x+3))/(2x)(6(x+2))/(x^2+5x+6)

simplify

\frac{x ( x + 3 )}{2 x} \frac{6 ( x + 2 )}{x ^{2} + 5 x + 6}

3

Solution steps

\frac{x ( x + 3 )}{2 x} \cdot \frac{6 ( x + 2 )}{x ^{2} + 5 x + 6}

Cancel the common factor:

x

= \frac{x + 3}{2} \cdot \frac{6 ( x + 2 )}{x ^{2} + 5 x + 6}

Cancel

\frac{6 ( x + 2 )}{x ^{2} + 5 x + 6} : \frac{6}{x + 3}

= \frac{x + 3}{2} \cdot \frac{6}{x + 3}

Cross-cancel common factor:

x + 3

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

64 x^{6} - 4 x^{2}

(3 + ki) (6 - 3 i)

\frac{a}{a - 1} - \frac{5}{1 - a}

1 + \frac{1}{x + 1}

1 - \frac{sin ( x )}{cos ( x )}

What is (x(x+3))/(2x)(6(x+2))/(x^2+5x+6) ?
The solution to (x(x+3))/(2x)(6(x+2))/(x^2+5x+6) is 3