What is expand (w(t-w))/(4tan(θ/2)) ?

The solution to expand (w(t-w))/(4tan(θ/2)) is (wt)/(4tan(θ/2))-(w^2)/(4tan(θ/2))

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expand (w(t-w))/(4tan(θ/2))

expand

\frac{w ( t - w )}{4 tan ( \frac{θ}{2} )}

\frac{wt}{4 tan ( \frac{θ}{2} )} - \frac{w ^{2}}{4 tan ( \frac{θ}{2} )}

Solution steps

\frac{w ( t - w )}{4 tan ( \frac{θ}{2} )}

Expand

w (t - w) : wt - w^{2}

= \frac{wt - w ^{2}}{4 tan ( \frac{θ}{2} )}

Apply the fraction rule:

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

\frac{wt - w ^{2}}{4 tan ( \frac{θ}{2} )} = \frac{wt}{4 tan ( \frac{θ}{2} )} - \frac{w ^{2}}{4 tan ( \frac{θ}{2} )}

= \frac{wt}{4 tan ( \frac{θ}{2} )} - \frac{w ^{2}}{4 tan ( \frac{θ}{2} )}

x (x - 5) (x + 5 - 22) (x + 5 + 22)

100 (\frac{b ^{2}}{8} + 75 (\frac{b}{2} + 25))

x (1 + y^{2}) d x - y (1 + x^{2}) d y

\frac{d}{d s} ((z) (3 x^{2} + y^{2} + 2 z^{4} - 10))

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

What is expand (w(t-w))/(4tan(θ/2)) ?
The solution to expand (w(t-w))/(4tan(θ/2)) is (wt)/(4tan(θ/2))-(w^2)/(4tan(θ/2))