What is (x-3sqrt(x))^2 ?

The solution to (x-3sqrt(x))^2 is x^2-6xsqrt(x)+9x

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simplify (x-3sqrt(x))^2

simplify

(x - 3 x)^{2}

x^{2} - 6 x x + 9 x

Solution steps

(x - 3 x)^{2}

Apply Perfect Square Formula:

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

(x - 3 x)^{2} = x^{2} - 2 x \cdot 3 x + (3 x)^{2}

= x^{2} - 2 x \cdot 3 x + (3 x)^{2}

- 2 x \cdot 3 x = - 6 x x

(3 x)^{2} = 9 x

= x^{2} - 6 x x + 9 x

(t sin (t^{2})) (sin (t^{2}) + 2 t^{2} cos (t^{2}))

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

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