What is expand (x-2sqrt(a)sqrt(x)+a)^2 ?

The solution to expand (x-2sqrt(a)sqrt(x)+a)^2 is x^2+a^2+6ax-4xsqrt(a)sqrt(x)-4asqrt(a)sqrt(x)

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expand (x-2sqrt(a)sqrt(x)+a)^2

expand

(x - 2 a x + a)^{2}

x^{2} + a^{2} + 6 a x - 4 x a x - 4 a a x

Solution steps

(x - 2 a x + a)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 2 a x + a)^{2} = (x - 2 a x + a) (x - 2 a x + a)

= (x - 2 a x + a) (x - 2 a x + a)

Distribute parentheses

= xx + x (- 2 a x) + x a - 2 a x x - 2 a x (- 2 a x) - 2 a x a + a x + a (- 2 a x) + aa

Simplify

xx + x (- 2 a x) + x a - 2 a x x - 2 a x (- 2 a x) - 2 a x a + a x + a (- 2 a x) + aa : x^{2} + a^{2} + 6 a x - 4 x a x - 4 a a x

= x^{2} + a^{2} + 6 a x - 4 x a x - 4 a a x

(\frac{x}{3} - \frac{2 y}{5}) (\frac{x}{3} + \frac{2 y}{5})

\frac{x ^{2} - x - 1}{( x + 5 ) ( x ^{2} + 4 )}

4 (e^{- x} x - 2 e^{- x})

(2 + 5) (- 2 + 5 k)

What is expand (x-2sqrt(a)sqrt(x)+a)^2 ?
The solution to expand (x-2sqrt(a)sqrt(x)+a)^2 is x^2+a^2+6ax-4xsqrt(a)sqrt(x)-4asqrt(a)sqrt(x)