What is (7x+3)/(x-6)+3/(x+5) ?

The solution to (7x+3)/(x-6)+3/(x+5) is (7x^2+41x-3)/((x-6)(x+5))

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simplify (7x+3)/(x-6)+3/(x+5)

simplify

\frac{7 x + 3}{x - 6} + \frac{3}{x + 5}

\frac{7 x ^{2} + 41 x - 3}{( x - 6 ) ( x + 5 )}

Solution steps

\frac{7 x + 3}{x - 6} + \frac{3}{x + 5}

Least Common Multiplier of

x - 6, x + 5 : (x - 6) (x + 5)

Adjust Fractions based on the LCM

= \frac{( 7 x + 3 ) ( x + 5 )}{( x - 6 ) ( x + 5 )} + \frac{3 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{( 7 x + 3 ) ( x + 5 ) + 3 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Simplify

(7 x + 3) (x + 5) + 3 (x - 6) : 7 x^{2} + 41 x - 3

= \frac{7 x ^{2} + 41 x - 3}{( x - 6 ) ( x + 5 )}

11 - 5

\frac{x - 1}{x - 1}

13 - 9

(a - 4) (a + 4)

\frac{2}{3} \times \frac{1}{3}

What is (7x+3)/(x-6)+3/(x+5) ?
The solution to (7x+3)/(x-6)+3/(x+5) is (7x^2+41x-3)/((x-6)(x+5))