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

The solution to expand (x^m(x^m+1))/2 is (x^{2m})/2+(x^m)/2

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

expand

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

\frac{x ^{2 m}}{2} + \frac{x ^{m}}{2}

Solution steps

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

Expand

x^{m} (x^{m} + 1) : x^{2 m} + x^{m}

= \frac{x ^{2 m} + x ^{m}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2 m} + x ^{m}}{2} = \frac{x ^{2 m}}{2} + \frac{x ^{m}}{2}

= \frac{x ^{2 m}}{2} + \frac{x ^{m}}{2}

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

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

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

δ, x i y y_{2} y_{3} (y_{4} - π)

\frac{3 s - 33}{( s ^{2} + 9 ) ( s + 2 ) ( s - 1 )}

What is expand (x^m(x^m+1))/2 ?
The solution to expand (x^m(x^m+1))/2 is (x^{2m})/2+(x^m)/2