What is (4c)/(c+3)-2/(c-1) ?

The solution to (4c)/(c+3)-2/(c-1) is (4c^2-6c-6)/((c+3)(c-1))

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simplify (4c)/(c+3)-2/(c-1)

simplify

\frac{4 c}{c + 3} - \frac{2}{c - 1}

\frac{4 c ^{2} - 6 c - 6}{( c + 3 ) ( c - 1 )}

Solution steps

\frac{4 c}{c + 3} - \frac{2}{c - 1}

Least Common Multiplier of

c + 3, c - 1 : (c + 3) (c - 1)

Adjust Fractions based on the LCM

= \frac{4 c ( c - 1 )}{( c + 3 ) ( c - 1 )} - \frac{2 ( c + 3 )}{( c + 3 ) ( c - 1 )}

Apply the fraction rule:

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

= \frac{4 c ( c - 1 ) - 2 ( c + 3 )}{( c + 3 ) ( c - 1 )}

Simplify

4 c (c - 1) - 2 (c + 3) : 4 c^{2} - 6 c - 6

= \frac{4 c ^{2} - 6 c - 6}{( c + 3 ) ( c - 1 )}

k^{2} - k - 8 = 0

\frac{x + 9}{4} > 2

(\frac{9 ^{10}}{9 ^{8}})^{2}

(5 i)^{2}

x^{2} y - 3 x^{2} - y + 3

What is (4c)/(c+3)-2/(c-1) ?
The solution to (4c)/(c+3)-2/(c-1) is (4c^2-6c-6)/((c+3)(c-1))