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

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

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

expand

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

cos^{2} (3 x) + 6 cos (3 x) + 9

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= cos^{2} (3 x) + 6 cos (3 x) + 9

\frac{1}{2} + \frac{3}{32} (4 (0.4) - \frac{( 0.4 ) ^{3}}{3})

\frac{20}{( x + 3 ) ( x - 5 )}

(e^{x}) (2 x + 1)

(3 + 5)^{4}

(3 + \frac{2 i}{n}) - (7 (3 + \frac{2 i}{n})^{2})

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