What is expand ((2m+1)(2m+5))/(2(2m+3)(m+1)) ?

The solution to expand ((2m+1)(2m+5))/(2(2m+3)(m+1)) is (4m^2+12m+5)/(4m^2+10m+6)

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expand ((2m+1)(2m+5))/(2(2m+3)(m+1))

expand

\frac{( 2 m + 1 ) ( 2 m + 5 )}{2 ( 2 m + 3 ) ( m + 1 )}

\frac{4 m ^{2} + 12 m + 5}{4 m ^{2} + 10 m + 6}

Solution steps

\frac{( 2 m + 1 ) ( 2 m + 5 )}{2 ( 2 m + 3 ) ( m + 1 )}

Expand

2 (2 m + 3) (m + 1) : 4 m^{2} + 10 m + 6

= \frac{( 2 m + 1 ) ( 2 m + 5 )}{4 m ^{2} + 10 m + 6}

Expand

(2 m + 1) (2 m + 5) : 4 m^{2} + 12 m + 5

= \frac{4 m ^{2} + 12 m + 5}{4 m ^{2} + 10 m + 6}

(x + 2) \cdot (x - 2)

(x + i y)^{3} + (x + i y)^{2}

(sin (x) + 2 cos (x))^{2}

\frac{( - x + 5 ) ( x + 1 )}{2}

(z - 6 i)^{2}

What is expand ((2m+1)(2m+5))/(2(2m+3)(m+1)) ?
The solution to expand ((2m+1)(2m+5))/(2(2m+3)(m+1)) is (4m^2+12m+5)/(4m^2+10m+6)