What is 6/(x-1)-(5x)/4 ?

The solution to 6/(x-1)-(5x)/4 is (24-5x^2+5x)/(4(x-1))

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simplify 6/(x-1)-(5x)/4

simplify

\frac{6}{x - 1} - \frac{5 x}{4}

\frac{24 - 5 x ^{2} + 5 x}{4 ( x - 1 )}

Solution steps

\frac{6}{x - 1} - \frac{5 x}{4}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{24}{4 ( x - 1 )} - \frac{5 x ( x - 1 )}{4 ( x - 1 )}

Apply the fraction rule:

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

= \frac{24 - 5 x ( x - 1 )}{4 ( x - 1 )}

Simplify

24 - 5 x (x - 1) : 24 - 5 x^{2} + 5 x

= \frac{24 - 5 x ^{2} + 5 x}{4 ( x - 1 )}

x^{2} + 18 x

x x x

(m + 2) (m - 15)

- x - 3 x

\frac{cos ^{2} ( x )}{cos ( x )}

What is 6/(x-1)-(5x)/4 ?
The solution to 6/(x-1)-(5x)/4 is (24-5x^2+5x)/(4(x-1))