What is simplify-4/(x-4)+5/(x-1) ?

The solution to simplify-4/(x-4)+5/(x-1) is (x-16)/((x-4)(x-1))

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simplify-4/(x-4)+5/(x-1)

simplify

- \frac{4}{x - 4} + \frac{5}{x - 1}

\frac{x - 16}{( x - 4 ) ( x - 1 )}

Solution steps

- \frac{4}{x - 4} + \frac{5}{x - 1}

Least Common Multiplier of

x - 4, x - 1 : (x - 4) (x - 1)

Adjust Fractions based on the LCM

= - \frac{4 ( x - 1 )}{( x - 4 ) ( x - 1 )} + \frac{5 ( x - 4 )}{( x - 4 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{- 4 ( x - 1 ) + 5 ( x - 4 )}{( x - 4 ) ( x - 1 )}

Simplify

- 4 (x - 1) + 5 (x - 4) : x - 16

= \frac{x - 16}{( x - 4 ) ( x - 1 )}

97 - 563

x \frac{1}{4}

5 x^{2} + 36 x + 7

- (- 9 c - 0.8 d - 1)

lo g_{243} (3)

What is simplify-4/(x-4)+5/(x-1) ?
The solution to simplify-4/(x-4)+5/(x-1) is (x-16)/((x-4)(x-1))