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

The solution to (sqrt(5)sqrt(x)-5)^2 is 5x-10sqrt(5)sqrt(x)+25

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

simplify

(5 x - 5)^{2}

5 x - 105 x + 25

Solution steps

(5 x - 5)^{2}

Apply Perfect Square Formula:

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

(5 x - 5)^{2} = (5 x)^{2} - 25 x \cdot 5 + 5^{2}

= (5 x)^{2} - 25 x \cdot 5 + 5^{2}

(5 x)^{2} = 5 x

- 25 x \cdot 5 = - 105 x

5^{2} = 25

= 5 x - 105 x + 25

9 x 3 + 54 x 2 + 36 x - 8

\frac{e ^{i (k + 1) θ} - 1}{e ^{i θ} - 1}

(3 - 3 i)^{7}

(e - f k) (e - e f k + f k)

\frac{248 ( s + 5 )}{s ( s + 4 ) ( s ^{2} + 4 )}

What is (sqrt(5)sqrt(x)-5)^2 ?
The solution to (sqrt(5)sqrt(x)-5)^2 is 5x-10sqrt(5)sqrt(x)+25