What is expand xsin((pinx)/L)(L-x) ?

The solution to expand xsin((pinx)/L)(L-x) is xLsin((pinx)/L)-x^2sin((pinx)/L)

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expand xsin((pinx)/L)(L-x)

expand

x sin (\frac{πn x}{L}) (L - x)

xL sin (\frac{πn x}{L}) - x^{2} sin (\frac{πn x}{L})

Solution steps

x sin (\frac{πn x}{L}) (L - x)

Apply the distributive law:

a (b - c) = ab - a c

a = x sin (\frac{πn x}{L}), b = L, c = x

= x sin (\frac{πn x}{L}) L - x sin (\frac{πn x}{L}) x

= xL sin (\frac{πn x}{L}) - xx sin (\frac{πn x}{L})

xx sin (\frac{πn x}{L}) = x^{2} sin (\frac{πn x}{L})

= xL sin (\frac{πn x}{L}) - x^{2} sin (\frac{πn x}{L})

A (- 2, - 3) y B (4, 2)

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

(x + Δ)^{4}

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

6 (12 + 7)

What is expand xsin((pinx)/L)(L-x) ?
The solution to expand xsin((pinx)/L)(L-x) is xLsin((pinx)/L)-x^2sin((pinx)/L)