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

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

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

simplify

(2 x - y)^{2}

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

Solution steps

(2 x - y)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x^{2}

- 2 \cdot 2 x y = - 4 x y

(y)^{2} = y

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

(se x (x + y) - cos (x) sin (y)) \cdot sec (y)

(x + \frac{1}{9}) (x - 6)

h (m^{2} + 7) (m, co n s tan (t))

\frac{( x ^{6} - 5 x ^{4} + 6 x ^{2} - 1 ) ^{2}}{x ^{5} - 4 x ^{3} + 3 x}

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