What is expand (m(m+5)+4)/(4(m+5)(m+3)) ?

The solution to expand (m(m+5)+4)/(4(m+5)(m+3)) is (m^2+5m+4)/(4m^2+32m+60)

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expand (m(m+5)+4)/(4(m+5)(m+3))

expand

\frac{m ( m + 5 ) + 4}{4 ( m + 5 ) ( m + 3 )}

\frac{m ^{2} + 5 m + 4}{4 m ^{2} + 32 m + 60}

Solution steps

\frac{m ( m + 5 ) + 4}{4 ( m + 5 ) ( m + 3 )}

Expand

4 (m + 5) (m + 3) : 4 m^{2} + 32 m + 60

= \frac{m ( m + 5 ) + 4}{4 m ^{2} + 32 m + 60}

Expand

m (m + 5) + 4 : m^{2} + 5 m + 4

= \frac{m ^{2} + 5 m + 4}{4 m ^{2} + 32 m + 60}

\frac{3 x + 2}{x ^{2} ( x ^{2} + 4 )}

\frac{8}{( x - 4 ) ^{3}}

\frac{1}{2 e ^{- x} ( x + 1 )}

- \frac{( tan ( θ ) - 3 ) ^{2}}{2}

\frac{( 3 x + 5 ) ( 3 x - 5 )}{3 ( 2 x - 5 )}

What is expand (m(m+5)+4)/(4(m+5)(m+3)) ?
The solution to expand (m(m+5)+4)/(4(m+5)(m+3)) is (m^2+5m+4)/(4m^2+32m+60)