What is (3-3/(a+2))/(1/(a+2)+a/3) ?

The solution to (3-3/(a+2))/(1/(a+2)+a/3) is (3(3a+3))/(3+a^2+2a)

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simplify (3-3/(a+2))/(1/(a+2)+a/3)

simplify

\frac{3 - \frac{3}{a + 2}}{\frac{1}{a + 2} + \frac{a}{3}}

\frac{3 ( 3 a + 3 )}{3 + a ^{2} + 2 a}

Solution steps

\frac{3 - \frac{3}{a + 2}}{\frac{1}{a + 2} + \frac{a}{3}}

Join

3 - \frac{3}{a + 2} : \frac{3 a + 3}{a + 2}

= \frac{\frac{3 a + 3}{a + 2}}{\frac{1}{a + 2} + \frac{a}{3}}

Join

\frac{1}{a + 2} + \frac{a}{3} : \frac{3 + a ^{2} + 2 a}{3 ( a + 2 )}

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

Apply the fraction rule:

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

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

Cancel the common factor:

a + 2

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

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

x^{4} - 2 x^{2} - 35

15 = g - 5

(y + 150)^{2} = 50

3.2 (\frac{1}{2}) - 2.5 (\frac{3}{5}) + 1.4 (\frac{2}{7})

3 m (m + 5) = 0

What is (3-3/(a+2))/(1/(a+2)+a/3) ?
The solution to (3-3/(a+2))/(1/(a+2)+a/3) is (3(3a+3))/(3+a^2+2a)