What is (2+xsqrt(5))^2 ?

The solution to (2+xsqrt(5))^2 is 4+4sqrt(5)x+5x^2

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simplify (2+xsqrt(5))^2

simplify

(2 + x 5)^{2}

4 + 45 x + 5 x^{2}

Solution steps

(2 + x 5)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

2 \cdot 2 x 5 = 45 x

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

= 4 + 45 x + 5 x^{2}

(3 x + 7)^{2}

(2 + x - 2)^{2}

(\frac{x}{3} - \frac{y}{2})^{5}

(2 (y - x) - 1 - 1 - (y - x)) l e f t (x, 1, - y)

\frac{2 ( π + 180 )}{180}