What is expand (pi^2)/6 (x-1/2) ?

The solution to expand (pi^2)/6 (x-1/2) is (pi^2x)/6-(pi^2)/(12)

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expand (pi^2)/6 (x-1/2)

expand

\frac{π ^{2}}{6} (x - \frac{1}{2})

\frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

Solution steps

\frac{π ^{2}}{6} (x - \frac{1}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{π ^{2}}{6}, b = x, c = \frac{1}{2}

= \frac{π ^{2}}{6} x - \frac{π ^{2}}{6} \cdot \frac{1}{2}

= \frac{π ^{2}}{6} x - \frac{1}{2} \cdot \frac{π ^{2}}{6}

Simplify

\frac{π ^{2}}{6} x - \frac{1}{2} \cdot \frac{π ^{2}}{6} : \frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

= \frac{π ^{2} x}{6} - \frac{π ^{2}}{12}

(x^{2} + x y + y^{2})^{6}

(3 - \frac{3}{2} y) 3

cos (x) \times (1 + cos (x))

(1 + y) \cdot ln (1 + y) + (4 + y) \cdot ln (4 + y)

cos (x y) (y + x \frac{d y}{d x})

What is expand (pi^2)/6 (x-1/2) ?
The solution to expand (pi^2)/6 (x-1/2) is (pi^2x)/6-(pi^2)/(12)