What is expand (1+cos(y))^2 ?

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

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expand (1+cos(y))^2

expand

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

1 + 2 cos (y) + cos^{2} (y)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 cos (y) + cos^{2} (y)

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

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

(2 x + 1) 2 x + 1

\frac{2}{3} (a + 3 (b - \frac{4}{3}))

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

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