What is expand (1+cos(3x))^2 ?

The solution to expand (1+cos(3x))^2 is 1+2cos(3x)+cos^2(3x)

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expand (1+cos(3x))^2

expand

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

1 + 2 cos (3 x) + cos^{2} (3 x)

Solution steps

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

Apply Perfect Square Formula:

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

(1 + cos (3 x))^{2} = 1^{2} + 2 \cdot 1 \cdot cos (3 x) + cos^{2} (3 x)

= 1^{2} + 2 \cdot 1 \cdot cos (3 x) + cos^{2} (3 x)

Simplify

1^{2} + 2 \cdot 1 \cdot cos (3 x) + cos^{2} (3 x) : 1 + 2 cos (3 x) + cos^{2} (3 x)

= 1 + 2 cos (3 x) + cos^{2} (3 x)

(9 x - 11) lo g_{3} (11 x - 9)

\frac{( x + 4 ) ( x - 3 )}{( x - 2 ) ( x ^{2} + 2 )}

\frac{( x - 1 ) ( x + 3 + 2 )}{x - 1}

(x + 3) (x + 1)^{\frac{1}{2}}

2 (3 - 1)

What is expand (1+cos(3x))^2 ?
The solution to expand (1+cos(3x))^2 is 1+2cos(3x)+cos^2(3x)