What is 1/(16a)+5/(12b)-9/(10b^3) ?

The solution to 1/(16a)+5/(12b)-9/(10b^3) is (15b^3+100ab^2-216a)/(240ab^3)

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simplify 1/(16a)+5/(12b)-9/(10b^3)

simplify

\frac{1}{16 a} + \frac{5}{12 b} - \frac{9}{10 b ^{3}}

\frac{15 b ^{3} + 100 a b ^{2} - 216 a}{240 a b ^{3}}

Solution steps

\frac{1}{16 a} + \frac{5}{12 b} - \frac{9}{10 b ^{3}}

Least Common Multiplier of

16 a, 12 b, 10 b^{3} : 240 a b^{3}

Adjust Fractions based on the LCM

= \frac{15 b ^{3}}{240 a b ^{3}} + \frac{100 a b ^{2}}{240 a b ^{3}} - \frac{216 a}{240 a b ^{3}}

Apply the fraction rule:

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

= \frac{15 b ^{3} + 100 a b ^{2} - 216 a}{240 a b ^{3}}

18 + 72 - 2

x^{2} - 5 x + 6 < 0

(x - 3)^{2} + 4 = 20

- 3 x + 9 - 2 x = - 12 - 5 x

- \frac{8}{- 2}

What is 1/(16a)+5/(12b)-9/(10b^3) ?
The solution to 1/(16a)+5/(12b)-9/(10b^3) is (15b^3+100ab^2-216a)/(240ab^3)