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

The solution to expand (1+3cos(x))^2 is 1+6cos(x)+9cos^2(x)

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

expand

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

1 + 6 cos (x) + 9 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

1^{2} + 2 \cdot 1 \cdot 3 cos (x) + (3 cos (x))^{2} : 1 + 6 cos (x) + 9 cos^{2} (x)

= 1 + 6 cos (x) + 9 cos^{2} (x)

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

\frac{x}{( x ^{2} + w ^{2} ) ( x ^{2} + 4 )}

- \frac{x ^{2} ( 2 x - 9 )}{6}

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

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

What is expand (1+3cos(x))^2 ?
The solution to expand (1+3cos(x))^2 is 1+6cos(x)+9cos^2(x)