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

The solution to (5+5sqrt(x))^2 is 25+50sqrt(x)+25x

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

simplify

(5 + 5 x)^{2}

25 + 50 x + 25 x

Solution steps

(5 + 5 x)^{2}

Apply Perfect Square Formula:

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

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

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

5^{2} = 25

2 \cdot 5 \cdot 5 x = 50 x

(5 x)^{2} = 25 x

= 25 + 50 x + 25 x

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