What is (x+sqrt(5))^2 ?

The solution to (x+sqrt(5))^2 is x^2+2sqrt(5)x+5

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simplify (x+sqrt(5))^2

simplify

(x + 5)^{2}

x^{2} + 25 x + 5

Solution steps

(x + 5)^{2}

Apply Perfect Square Formula:

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

(x + 5)^{2} = x^{2} + 2 x 5 + (5)^{2}

= x^{2} + 2 x 5 + (5)^{2}

2 x 5 = 25 x

(5)^{2} = 5

= x^{2} + 25 x + 5

\frac{( cot ( A ) + csc ( A ) ) ( cot ( A ) - csc ( A ) )}{( 1 - cos ( A ) ) ( 1 + cos ( A ) )}

\frac{2}{( s ^{2} + 1 ) ( s ^{2} + 4 )}

12 (8 + π)

sin (x) (cot (x) - csc (x)) + 1