What is (m^2-16)/(m^2+7m+12)+(m+4)/((m+3)^2) ?

The solution to (m^2-16)/(m^2+7m+12)+(m+4)/((m+3)^2) is (m^2-8)/((m+3)^2)

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simplify (m^2-16)/(m^2+7m+12)+(m+4)/((m+3)^2)

simplify

\frac{m ^{2} - 16}{m ^{2} + 7 m + 12} + \frac{m + 4}{( m + 3 ) ^{2}}

\frac{m ^{2} - 8}{( m + 3 ) ^{2}}

Solution steps

\frac{m ^{2} - 16}{m ^{2} + 7 m + 12} + \frac{m + 4}{( m + 3 ) ^{2}}

Cancel

\frac{m ^{2} - 16}{m ^{2} + 7 m + 12} : \frac{m - 4}{m + 3}

= \frac{m - 4}{m + 3} + \frac{m + 4}{( m + 3 ) ^{2}}

Simplify

\frac{m - 4}{m + 3} + \frac{m + 4}{( m + 3 ) ^{2}} : \frac{( m - 4 ) ( m + 3 ) + m + 4}{( m + 3 ) ^{2}}

= \frac{( m - 4 ) ( m + 3 ) + m + 4}{( m + 3 ) ^{2}}

Simplify

(m - 4) (m + 3) + m + 4 : m^{2} - 8

= \frac{m ^{2} - 8}{( m + 3 ) ^{2}}

(4 - 2 x)^{3}

\frac{3 ^{- 1} - 3 ^{- 2}}{( 3 ^{- 1} ) ( 3 ^{- 2} )}

(3 - 2 i) (- 2 + 4 i)

x (2 x - 3)

What is (m^2-16)/(m^2+7m+12)+(m+4)/((m+3)^2) ?
The solution to (m^2-16)/(m^2+7m+12)+(m+4)/((m+3)^2) is (m^2-8)/((m+3)^2)