What is 5/(4(x-3))+(11)/(6x(x+5)) ?

The solution to 5/(4(x-3))+(11)/(6x(x+5)) is (15x^2+97x-66)/(12x(x-3)(x+5))

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simplify 5/(4(x-3))+(11)/(6x(x+5))

simplify

\frac{5}{4 ( x - 3 )} + \frac{11}{6 x ( x + 5 )}

\frac{15 x ^{2} + 97 x - 66}{12 x ( x - 3 ) ( x + 5 )}

Solution steps

\frac{5}{4 ( x - 3 )} + \frac{11}{6 x ( x + 5 )}

Least Common Multiplier of

4 (x - 3), 6 x (x + 5) : 12 x (x - 3) (x + 5)

Adjust Fractions based on the LCM

= \frac{15 x ( x + 5 )}{12 x ( x - 3 ) ( x + 5 )} + \frac{22 ( x - 3 )}{12 x ( x - 3 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{15 x ( x + 5 ) + 22 ( x - 3 )}{12 x ( x - 3 ) ( x + 5 )}

Simplify

15 x (x + 5) + 22 (x - 3) : 15 x^{2} + 97 x - 66

= \frac{15 x ^{2} + 97 x - 66}{12 x ( x - 3 ) ( x + 5 )}

42 \cdot 23

1 - \frac{3}{4}

\frac{20}{70}

1575

8 \div \frac{5}{3}

What is 5/(4(x-3))+(11)/(6x(x+5)) ?
The solution to 5/(4(x-3))+(11)/(6x(x+5)) is (15x^2+97x-66)/(12x(x-3)(x+5))