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

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

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

simplify

(2 x - 5)^{2}

4 x - 20 x + 25

Solution steps

(2 x - 5)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

- 2 \cdot 2 x \cdot 5 = - 20 x

5^{2} = 25

= 4 x - 20 x + 25

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