What is (7x+1)/(x^2-36)+(3x)/(x+6) ?

The solution to (7x+1)/(x^2-36)+(3x)/(x+6) is (3x^2-11x+1)/((x+6)(x-6))

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simplify (7x+1)/(x^2-36)+(3x)/(x+6)

simplify

\frac{7 x + 1}{x ^{2} - 36} + \frac{3 x}{x + 6}

\frac{3 x ^{2} - 11 x + 1}{( x + 6 ) ( x - 6 )}

Solution steps

\frac{7 x + 1}{x ^{2} - 36} + \frac{3 x}{x + 6}

Least Common Multiplier of

x^{2} - 36, x + 6 : (x + 6) (x - 6)

Adjust Fractions based on the LCM

= \frac{7 x + 1}{( x + 6 ) ( x - 6 )} + \frac{3 x ( x - 6 )}{( x + 6 ) ( x - 6 )}

Apply the fraction rule:

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

= \frac{7 x + 1 + 3 x ( x - 6 )}{( x + 6 ) ( x - 6 )}

Simplify

7 x + 1 + 3 x (x - 6) : 3 x^{2} - 11 x + 1

= \frac{3 x ^{2} - 11 x + 1}{( x + 6 ) ( x - 6 )}

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

lo g_{10} (216)

\frac{120}{360}

(2 x + 5) (x - 3)

- 6 \cdot - 3

What is (7x+1)/(x^2-36)+(3x)/(x+6) ?
The solution to (7x+1)/(x^2-36)+(3x)/(x+6) is (3x^2-11x+1)/((x+6)(x-6))