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

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

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expand (xcos(y)+1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{( 2 x ^{4} - 3 x ^{2} + 6 x ^{5} - x ^{3} )}{( 2 x ^{2} )}

\frac{s ^{2} + 5}{( s - 1 ) ( s ^{2} - 2 s - 3 )}

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

\frac{d ^{3}}{d x ^{3}} ((y) (- sin (x) + 3 x^{2} - 8 x + 3))

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

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