What is (4m+12)/3*(6m)/(m+3) ?

The solution to (4m+12)/3*(6m)/(m+3) is 8m

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simplify (4m+12)/3*(6m)/(m+3)

simplify

\frac{4 m + 12}{3} \cdot \frac{6 m}{m + 3}

8 m

Solution steps

\frac{4 m + 12}{3} \cdot \frac{6 m}{m + 3}

Apply the fraction rule:

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

= \frac{( 4 m + 12 ) \cdot 6 m}{3 ( m + 3 )}

Factor the number:

6 = 3 \cdot 2

= \frac{( 4 m + 12 ) \cdot 3 \cdot 2 m}{3 ( m + 3 )}

Cancel the common factor:

3

= \frac{( 4 m + 12 ) \cdot 2 m}{m + 3}

Factor

4 m + 12 : 4 (m + 3)

= \frac{4 ( m + 3 ) \cdot 2 m}{m + 3}

Cancel the common factor:

m + 3

= 4 \cdot 2 m

Multiply the numbers:

4 \cdot 2 = 8

= 8 m

(sec^{2} (x) - 1)^{3}

\frac{x ^{3} + 7 x ^{2}}{x ^{3}}

x - \frac{x}{4}

\frac{30}{300}