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

The solution to (2+5sqrt(x))^2 is 4+20sqrt(x)+25x

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simplify (2+5sqrt(x))^2

simplify

(2 + 5 x)^{2}

4 + 20 x + 25 x

Solution steps

(2 + 5 x)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

2 \cdot 2 \cdot 5 x = 20 x

(5 x)^{2} = 25 x

= 4 + 20 x + 25 x

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x - 5 ) ^{2}}

\frac{6 z}{( z - 3 ) ( z + 1 )}

\frac{1}{( x - 5 ) ^{2}}

(5 x - 2) (5 x + 2)

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