What is (70)/(m^2-100)+7/(2(m+10)) ?

The solution to (70)/(m^2-100)+7/(2(m+10)) is 7/(2(m-10))

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simplify (70)/(m^2-100)+7/(2(m+10))

simplify

\frac{70}{m ^{2} - 100} + \frac{7}{2 ( m + 10 )}

\frac{7}{2 ( m - 10 )}

Solution steps

\frac{70}{m ^{2} - 100} + \frac{7}{2 ( m + 10 )}

Least Common Multiplier of

m^{2} - 100, 2 (m + 10) : 2 (m + 10) (m - 10)

Adjust Fractions based on the LCM

= \frac{140}{2 ( m + 10 ) ( m - 10 )} + \frac{7 ( m - 10 )}{2 ( m + 10 ) ( m - 10 )}

Apply the fraction rule:

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

= \frac{140 + 7 ( m - 10 )}{2 ( m + 10 ) ( m - 10 )}

Simplify

140 + 7 (m - 10) : 7 m + 70

= \frac{7 m + 70}{2 ( m + 10 ) ( m - 10 )}

Cancel

\frac{7 m + 70}{2 ( m + 10 ) ( m - 10 )} : \frac{7}{2 ( m - 10 )}

= \frac{7}{2 ( m - 10 )}

3 x^{2} - 12 x + 5 = 0

30 x^{2} - 11 x - 30

d^{2} + d = 6

45 x^{2} - 25

What is (70)/(m^2-100)+7/(2(m+10)) ?
The solution to (70)/(m^2-100)+7/(2(m+10)) is 7/(2(m-10))