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

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

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simplify (sqrt(5)+x)^2

simplify

(5 + x)^{2}

5 + 25 x + x^{2}

Solution steps

(5 + x)^{2}

Apply Perfect Square Formula:

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

(5 + x)^{2} = (5)^{2} + 25 x + x^{2}

= (5)^{2} + 25 x + x^{2}

Apply exponent rule:

(5)^{2} = 5

= 5 + 25 x + x^{2}

(x - y i)^{2}

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

(x + 4)^{2}

(z + i)^{2}

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