What is (9m-1)/(8m+2)-5/(7m^2) ?

The solution to (9m-1)/(8m+2)-5/(7m^2) is (63m^3-7m^2-40m-10)/(14m^2(4m+1))

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simplify (9m-1)/(8m+2)-5/(7m^2)

simplify

\frac{9 m - 1}{8 m + 2} - \frac{5}{7 m ^{2}}

\frac{63 m ^{3} - 7 m ^{2} - 40 m - 10}{14 m ^{2} ( 4 m + 1 )}

Solution steps

\frac{9 m - 1}{8 m + 2} - \frac{5}{7 m ^{2}}

Least Common Multiplier of

8 m + 2, 7 m^{2} : 14 m^{2} (4 m + 1)

Adjust Fractions based on the LCM

= \frac{( 9 m - 1 ) \cdot 7 m ^{2}}{14 m ^{2} ( 4 m + 1 )} - \frac{10 ( 4 m + 1 )}{14 m ^{2} ( 4 m + 1 )}

Apply the fraction rule:

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

= \frac{( 9 m - 1 ) \cdot 7 m ^{2} - 10 ( 4 m + 1 )}{14 m ^{2} ( 4 m + 1 )}

Simplify

(9 m - 1) \cdot 7 m^{2} - 10 (4 m + 1) : 63 m^{3} - 7 m^{2} - 40 m - 10

= \frac{63 m ^{3} - 7 m ^{2} - 40 m - 10}{14 m ^{2} ( 4 m + 1 )}

(\frac{4}{7 y ^{5}})^{2}

\frac{1}{6} c = \frac{8}{5} + c

\frac{w}{4} + 7 = 22

y^{2} - 11 y + 30

x^{3} - x^{2} - x

What is (9m-1)/(8m+2)-5/(7m^2) ?
The solution to (9m-1)/(8m+2)-5/(7m^2) is (63m^3-7m^2-40m-10)/(14m^2(4m+1))