What is expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t) ?

The solution to expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t) is (t+1)/2

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expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t)

expand

\frac{1}{4} (1 + s) (1 + t) + \frac{1}{4} (1 - s) (1 + t)

\frac{t + 1}{2}

Solution steps

\frac{1}{4} (1 + s) (1 + t) + \frac{1}{4} (1 - s) (1 + t)

Expand

\frac{1}{4} (1 + s) (1 + t) : \frac{1 + t + s + s t}{4}

= \frac{1 + t + s + s t}{4} + \frac{1}{4} (1 - s) (1 + t)

Expand

\frac{1}{4} (1 - s) (1 + t) : \frac{1 + t - s - s t}{4}

= \frac{1 + t + s + s t}{4} + \frac{1 + t - s - s t}{4}

Join

\frac{1 + t + s + s t}{4} + \frac{1 + t - s - s t}{4} : \frac{t + 1}{2}

= \frac{t + 1}{2}

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240 (6 - \frac{8}{x + 2})

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

What is expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t) ?
The solution to expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t) is (t+1)/2