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

The solution to (sqrt(x)-y)^2 is x-2ysqrt(x)+y^2

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simplify (sqrt(x)-y)^2

simplify

(x - y)^{2}

x - 2 y x + y^{2}

Solution steps

(x - y)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

- 2 x y = - 2 y x

= x - 2 y x + y^{2}

(f + g) (π)

(x + 1 + 1)^{2}

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

x^{\frac{1}{3}} (x^{2} - 7)

\frac{\partial}{\partial x} ((z) (9 x yz - e^{z}))