What is (m-4)/(m^2+8m+16)-(m-4)/(m+4) ?

The solution to (m-4)/(m^2+8m+16)-(m-4)/(m+4) is (-m^2+m+12)/((m+4)^2)

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simplify (m-4)/(m^2+8m+16)-(m-4)/(m+4)

simplify

\frac{m - 4}{m ^{2} + 8 m + 16} - \frac{m - 4}{m + 4}

\frac{- m ^{2} + m + 12}{( m + 4 ) ^{2}}

Solution steps

\frac{m - 4}{m ^{2} + 8 m + 16} - \frac{m - 4}{m + 4}

Least Common Multiplier of

m^{2} + 8 m + 16, m + 4 : (m + 4)^{2}

Adjust Fractions based on the LCM

= \frac{m - 4}{( m + 4 ) ^{2}} - \frac{( m - 4 ) ( m + 4 )}{( m + 4 ) ^{2}}

Apply the fraction rule:

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

= \frac{m - 4 - ( m - 4 ) ( m + 4 )}{( m + 4 ) ^{2}}

Simplify

m - 4 - (m - 4) (m + 4) : - m^{2} + m + 12

= \frac{- m ^{2} + m + 12}{( m + 4 ) ^{2}}

3 x^{2} + 8 x - 800 = 0

ln (e^{3}) - ln (e^{7})

2 > 8 - \frac{4}{3} h

- 3 + 4 (- x + 1) = 2 - 5 (2 x - 3)

0 \leq x \leq 10

What is (m-4)/(m^2+8m+16)-(m-4)/(m+4) ?
The solution to (m-4)/(m^2+8m+16)-(m-4)/(m+4) is (-m^2+m+12)/((m+4)^2)