What is expand (cos(2t)+3cos(t))^2 ?

The solution to expand (cos(2t)+3cos(t))^2 is cos^2(2t)+6cos(2t)cos(t)+9cos^2(t)

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expand (cos(2t)+3cos(t))^2

expand

(cos (2 t) + 3 cos (t))^{2}

cos^{2} (2 t) + 6 cos (2 t) cos (t) + 9 cos^{2} (t)

Solution steps

(cos (2 t) + 3 cos (t))^{2}

Apply Perfect Square Formula:

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

(cos (2 t) + 3 cos (t))^{2} = cos^{2} (2 t) + 2 cos (2 t) \cdot 3 cos (t) + (3 cos (t))^{2}

= cos^{2} (2 t) + 2 cos (2 t) \cdot 3 cos (t) + (3 cos (t))^{2}

Simplify

cos^{2} (2 t) + 2 cos (2 t) \cdot 3 cos (t) + (3 cos (t))^{2} : cos^{2} (2 t) + 6 cos (2 t) cos (t) + 9 cos^{2} (t)

= cos^{2} (2 t) + 6 cos (2 t) cos (t) + 9 cos^{2} (t)

(- (2, 4) - (2, - 6)) w

(s + s^{'})^{12}

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

(x - x^{2}) e^{x}

\frac{x}{( x ^{2} + 3 ) ^{2}}

What is expand (cos(2t)+3cos(t))^2 ?
The solution to expand (cos(2t)+3cos(t))^2 is cos^2(2t)+6cos(2t)cos(t)+9cos^2(t)