What is expand ((x+3)^3)/(4(x-1)^2) ?

The solution to expand ((x+3)^3)/(4(x-1)^2) is (x^3+9x^2+27x+27)/(4x^2-8x+4)

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expand ((x+3)^3)/(4(x-1)^2)

expand

\frac{( x + 3 ) ^{3}}{4 ( x - 1 ) ^{2}}

\frac{x ^{3} + 9 x ^{2} + 27 x + 27}{4 x ^{2} - 8 x + 4}

Solution steps

\frac{( x + 3 ) ^{3}}{4 ( x - 1 ) ^{2}}

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

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

(x + 3)^{3} = x^{3} + 9 x^{2} + 27 x + 27

= \frac{x ^{3} + 9 x ^{2} + 27 x + 27}{4 ( x ^{2} - 2 x + 1 )}

Expand

4 (x^{2} - 2 x + 1) : 4 x^{2} - 8 x + 4

= \frac{x ^{3} + 9 x ^{2} + 27 x + 27}{4 x ^{2} - 8 x + 4}

(x^{4} + 2) (x^{4} - 2)

(2 + x)^{2}

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

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

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

What is expand ((x+3)^3)/(4(x-1)^2) ?
The solution to expand ((x+3)^3)/(4(x-1)^2) is (x^3+9x^2+27x+27)/(4x^2-8x+4)