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

The solution to expand ((t+1)^2)/2 is (t^2)/2+t+1/2

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

expand

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

\frac{t ^{2}}{2} + t + \frac{1}{2}

Solution steps

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

(t + 1)^{2} = t^{2} + 2 t + 1

= \frac{t ^{2} + 2 t + 1}{2}

Apply the fraction rule:

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

\frac{t ^{2} + 2 t + 1}{2} = \frac{t ^{2}}{2} + \frac{2 t}{2} + \frac{1}{2}

= \frac{t ^{2}}{2} + \frac{2 t}{2} + \frac{1}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{t ^{2}}{2} + t + \frac{1}{2}

sec^{2} (\frac{x}{2}) + 3 (x - 10)^{2} + \frac{2}{x ^{4}}

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

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

6 (6 sec^{2} (3 x - 2) tan^{2} (3 x - 2) + 3 sec^{4} (3 x - 2))

What is expand ((t+1)^2)/2 ?
The solution to expand ((t+1)^2)/2 is (t^2)/2+t+1/2