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

The solution to expand (x^2(2x+1)^2+1)/(2x+1) is (4x^4+4x^3+x^2+1)/(2x+1)

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

expand

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

\frac{4 x ^{4} + 4 x ^{3} + x ^{2} + 1}{2 x + 1}

Solution steps

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

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

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

Expand

x^{2} (4 x^{2} + 4 x + 1) + 1 : 4 x^{4} + 4 x^{3} + x^{2} + 1

= \frac{4 x ^{4} + 4 x ^{3} + x ^{2} + 1}{2 x + 1}

\frac{( 8.25 + 5 a ) ^{2}}{( 20 a ^{3} + 74 a ^{2} + 101.25 a + 50 )}

\frac{k ( s - 1 )}{s ( s + 1 )}

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

(x^{2} - 2)^{2} d x

(x^{2} - 2 x - 1)^{5}

What is expand (x^2(2x+1)^2+1)/(2x+1) ?
The solution to expand (x^2(2x+1)^2+1)/(2x+1) is (4x^4+4x^3+x^2+1)/(2x+1)