What is (2a)/(3-a)+1/(5(a+2)) ?

The solution to (2a)/(3-a)+1/(5(a+2)) is (10a^2+19a+3)/(5(-a+3)(a+2))

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simplify (2a)/(3-a)+1/(5(a+2))

simplify

\frac{2 a}{3 - a} + \frac{1}{5 ( a + 2 )}

\frac{10 a ^{2} + 19 a + 3}{5 ( - a + 3 ) ( a + 2 )}

Solution steps

\frac{2 a}{3 - a} + \frac{1}{5 ( a + 2 )}

Least Common Multiplier of

3 - a, 5 (a + 2) : 5 (- a + 3) (a + 2)

Adjust Fractions based on the LCM

= \frac{10 a ( a + 2 )}{5 ( - a + 3 ) ( a + 2 )} + \frac{- a + 3}{5 ( - a + 3 ) ( a + 2 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{10 a ( a + 2 ) - a + 3}{5 ( - a + 3 ) ( a + 2 )}

Simplify

10 a (a + 2) - a + 3 : 10 a^{2} + 19 a + 3

= \frac{10 a ^{2} + 19 a + 3}{5 ( - a + 3 ) ( a + 2 )}

12 x - 18

lo g_{14} (1)

lo g_{\frac{1}{9}} (3)

lo g_{3} (x^{4})

11 \cdot 5

What is (2a)/(3-a)+1/(5(a+2)) ?
The solution to (2a)/(3-a)+1/(5(a+2)) is (10a^2+19a+3)/(5(-a+3)(a+2))