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

The solution to (xsqrt(x)-2sqrt(x))^2 is x^3-4x^2+4x

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

simplify

(x x - 2 x)^{2}

x^{3} - 4 x^{2} + 4 x

Solution steps

(x x - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

(x x)^{2} = x^{3}

- 2 x x \cdot 2 x = - 4 x^{2}

(2 x)^{2} = 4 x

= x^{3} - 4 x^{2} + 4 x

(\frac{b}{c} - 1) a

(6 x + y^{2}) d x + y (2 x)

(x + 3 y) d x + x d y

\frac{1}{( 1 + x ) ^{7}}

(16 sin (x) + 2) (sin (x) + 4)

What is (xsqrt(x)-2sqrt(x))^2 ?
The solution to (xsqrt(x)-2sqrt(x))^2 is x^3-4x^2+4x