What is expand (vsin(t)-e)^2 ?

The solution to expand (vsin(t)-e)^2 is v^2sin^2(t)-2evsin(t)+e^2

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expand (vsin(t)-e)^2

expand

(v sin (t) - e)^{2}

v^{2} sin^{2} (t) - 2 e v sin (t) + e^{2}

Solution steps

(v sin (t) - e)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = v sin (t), b = e

= (v sin (t))^{2} - 2 v sin (t) e + e^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= v^{2} sin^{2} (t) - 2 e v sin (t) + e^{2}

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What is expand (vsin(t)-e)^2 ?
The solution to expand (vsin(t)-e)^2 is v^2sin^2(t)-2evsin(t)+e^2