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

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(- \frac{b}{a} y - \frac{c}{a} z + d)^{2} + y^{2} - z^{2}

5 (3 b^{2} + 4 b - 6)^{2}

(sin (x) - 3) (sin (x) + 1)