What is (12)/(4x-1)-3/(x+5) ?

The solution to (12)/(4x-1)-3/(x+5) is (63)/((x+5)(4x-1))

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simplify (12)/(4x-1)-3/(x+5)

simplify

\frac{12}{4 x - 1} - \frac{3}{x + 5}

\frac{63}{( x + 5 ) ( 4 x - 1 )}

Solution steps

\frac{12}{4 x - 1} - \frac{3}{x + 5}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{12 ( x + 5 )}{( x + 5 ) ( 4 x - 1 )} - \frac{3 ( 4 x - 1 )}{( x + 5 ) ( 4 x - 1 )}

Apply the fraction rule:

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

= \frac{12 ( x + 5 ) - 3 ( 4 x - 1 )}{( x + 5 ) ( 4 x - 1 )}

Simplify

12 (x + 5) - 3 (4 x - 1) : 63

= \frac{63}{( x + 5 ) ( 4 x - 1 )}

(7 - x)^{3}

\frac{4 + - 8}{2}

1 \times \frac{1}{6}

\frac{1}{4} \times \frac{3}{2}

6 x^{2} + 6 x^{2}

What is (12)/(4x-1)-3/(x+5) ?
The solution to (12)/(4x-1)-3/(x+5) is (63)/((x+5)(4x-1))