What is (m-9)/(9m+3)+4/(7m^2) ?

The solution to (m-9)/(9m+3)+4/(7m^2) is (7m^3-63m^2+36m+12)/(21m^2(3m+1))

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simplify (m-9)/(9m+3)+4/(7m^2)

simplify

\frac{m - 9}{9 m + 3} + \frac{4}{7 m ^{2}}

\frac{7 m ^{3} - 63 m ^{2} + 36 m + 12}{21 m ^{2} ( 3 m + 1 )}

Solution steps

\frac{m - 9}{9 m + 3} + \frac{4}{7 m ^{2}}

Least Common Multiplier of

9 m + 3, 7 m^{2} : 21 m^{2} (3 m + 1)

Adjust Fractions based on the LCM

= \frac{( m - 9 ) \cdot 7 m ^{2}}{21 m ^{2} ( 3 m + 1 )} + \frac{12 ( 3 m + 1 )}{21 m ^{2} ( 3 m + 1 )}

Apply the fraction rule:

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

= \frac{( m - 9 ) \cdot 7 m ^{2} + 12 ( 3 m + 1 )}{21 m ^{2} ( 3 m + 1 )}

Simplify

(m - 9) \cdot 7 m^{2} + 12 (3 m + 1) : 7 m^{3} - 63 m^{2} + 36 m + 12

= \frac{7 m ^{3} - 63 m ^{2} + 36 m + 12}{21 m ^{2} ( 3 m + 1 )}

2 ∣ v - 7 ∣ - 4 \geq 42

12 x^{2} - 240 x + 900 = 0

2 x^{2} = - 3 x

\frac{n}{3} = 2

\frac{7 n}{24 n ^{3} - 64 n ^{2}} \cdot \frac{9 n - 24}{7 n}

What is (m-9)/(9m+3)+4/(7m^2) ?
The solution to (m-9)/(9m+3)+4/(7m^2) is (7m^3-63m^2+36m+12)/(21m^2(3m+1))