What is expand (4x(x+3))/((2x+3)^2) ?

The solution to expand (4x(x+3))/((2x+3)^2) is (4x^2+12x)/(4x^2+12x+9)

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expand (4x(x+3))/((2x+3)^2)

expand

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

\frac{4 x ^{2} + 12 x}{4 x ^{2} + 12 x + 9}

Solution steps

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

(2 x + 3)^{2} = 4 x^{2} + 12 x + 9

= \frac{4 x ( x + 3 )}{4 x ^{2} + 12 x + 9}

Expand

4 x (x + 3) : 4 x^{2} + 12 x

= \frac{4 x ^{2} + 12 x}{4 x ^{2} + 12 x + 9}

(x + yz + w e)^{2}

\frac{( x + 6 ) ^{3}}{5}

\frac{2 ( x + 4 ) ( x - 3 )}{( x - 5 ) ( x - 2 )}

e^{\frac{2}{x}} \cdot (3 x + 1)

\frac{4 ( 2 x + 30 )}{3}

What is expand (4x(x+3))/((2x+3)^2) ?
The solution to expand (4x(x+3))/((2x+3)^2) is (4x^2+12x)/(4x^2+12x+9)