What is expand (4(x^2+x+4))/((2x+1)^2) ?

The solution to expand (4(x^2+x+4))/((2x+1)^2) is (4x^2+4x+16)/(4x^2+4x+1)

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expand (4(x^2+x+4))/((2x+1)^2)

expand

\frac{4 ( x ^{2} + x + 4 )}{( 2 x + 1 ) ^{2}}

\frac{4 x ^{2} + 4 x + 16}{4 x ^{2} + 4 x + 1}

Solution steps

\frac{4 ( x ^{2} + x + 4 )}{( 2 x + 1 ) ^{2}}

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

= \frac{4 ( x ^{2} + x + 4 )}{4 x ^{2} + 4 x + 1}

Expand

4 (x^{2} + x + 4) : 4 x^{2} + 4 x + 16

= \frac{4 x ^{2} + 4 x + 16}{4 x ^{2} + 4 x + 1}

a (- e^{- x} cos (x) - e^{- x} sin (x))

\frac{\frac{d}{d x} ( x ^{3} ( x - 5 ) ^{2} )}{( x ^{2} + 4 ) ^{7}}

f, f = e^{2 x} δ (x - 1) + x^{3}

[2 a^{2} (a^{2} - b^{2})] m^{2}

\frac{3 s + 5}{s ( s ^{2} + s - 6 )}

What is expand (4(x^2+x+4))/((2x+1)^2) ?
The solution to expand (4(x^2+x+4))/((2x+1)^2) is (4x^2+4x+16)/(4x^2+4x+1)