What is (6a+12)/a*(a^3)/(a+2) ?

The solution to (6a+12)/a*(a^3)/(a+2) is 6a^2

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simplify (6a+12)/a*(a^3)/(a+2)

simplify

\frac{6 a + 12}{a} \cdot \frac{a ^{3}}{a + 2}

6 a^{2}

Solution steps

\frac{6 a + 12}{a} \cdot \frac{a ^{3}}{a + 2}

Apply the fraction rule:

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

= \frac{( 6 a + 12 ) a ^{3}}{a ( a + 2 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

a^{3} = a a^{2}

= \frac{( 6 a + 12 ) a a ^{2}}{a ( a + 2 )}

Cancel the common factor:

a

= \frac{( 6 a + 12 ) a ^{2}}{a + 2}

Factor

6 a + 12 : 6 (a + 2)

= \frac{6 ( a + 2 ) a ^{2}}{a + 2}

Cancel the common factor:

a + 2

= 6 a^{2}

(y - 10)^{2} = 0

7 x + 5 = 4 x + 14

80 a^{2} - 200 a p + 125 p^{2}

\frac{1}{2} - \frac{1}{8} - \frac{1}{40}

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