What is (7x)/(x-4)+(x+7)/(x-6) ?

The solution to (7x)/(x-4)+(x+7)/(x-6) is (8x^2-39x-28)/((x-4)(x-6))

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simplify (7x)/(x-4)+(x+7)/(x-6)

simplify

\frac{7 x}{x - 4} + \frac{x + 7}{x - 6}

\frac{8 x ^{2} - 39 x - 28}{( x - 4 ) ( x - 6 )}

Solution steps

\frac{7 x}{x - 4} + \frac{x + 7}{x - 6}

Least Common Multiplier of

x - 4, x - 6 : (x - 4) (x - 6)

Adjust Fractions based on the LCM

= \frac{7 x ( x - 6 )}{( x - 4 ) ( x - 6 )} + \frac{( x + 7 ) ( x - 4 )}{( x - 4 ) ( x - 6 )}

Apply the fraction rule:

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

= \frac{7 x ( x - 6 ) + ( x + 7 ) ( x - 4 )}{( x - 4 ) ( x - 6 )}

Simplify

7 x (x - 6) + (x + 7) (x - 4) : 8 x^{2} - 39 x - 28

= \frac{8 x ^{2} - 39 x - 28}{( x - 4 ) ( x - 6 )}

(x + y + z) (x - y - z)

- \frac{3}{- 2}

(a + x) (a - x)

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

(8 - i) - (10 - 8 i)

What is (7x)/(x-4)+(x+7)/(x-6) ?
The solution to (7x)/(x-4)+(x+7)/(x-6) is (8x^2-39x-28)/((x-4)(x-6))