What is (3x)/(x-4)+(2x)/(x+3) ?

The solution to (3x)/(x-4)+(2x)/(x+3) is (5x^2+x)/((x-4)(x+3))

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simplify (3x)/(x-4)+(2x)/(x+3)

simplify

\frac{3 x}{x - 4} + \frac{2 x}{x + 3}

\frac{5 x ^{2} + x}{( x - 4 ) ( x + 3 )}

Solution steps

\frac{3 x}{x - 4} + \frac{2 x}{x + 3}

Least Common Multiplier of

x - 4, x + 3 : (x - 4) (x + 3)

Adjust Fractions based on the LCM

= \frac{3 x ( x + 3 )}{( x - 4 ) ( x + 3 )} + \frac{2 x ( x - 4 )}{( x - 4 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{3 x ( x + 3 ) + 2 x ( x - 4 )}{( x - 4 ) ( x + 3 )}

Simplify

3 x (x + 3) + 2 x (x - 4) : 5 x^{2} + x

= \frac{5 x ^{2} + x}{( x - 4 ) ( x + 3 )}

\frac{0.1 + 1 - 1}{0.1}

\frac{1 0 ^{12}}{1 0 ^{x}}

\frac{( - 45 )}{( - 5 )}

\frac{m - 5}{m ^{2} - 5 m}

(- 6 x^{2} - 4) + (9 x^{2} - 7 x)

What is (3x)/(x-4)+(2x)/(x+3) ?
The solution to (3x)/(x-4)+(2x)/(x+3) is (5x^2+x)/((x-4)(x+3))