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

The solution to (2sqrt(x)+sqrt(2y))-(sqrt(x)-2sqrt(2y)) is sqrt(x)+3sqrt(2y)

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

simplify

(2 x + 2 y) - (x - 2 2 y)

x + 3 2 y

Solution steps

(2 x + 2 y) - (x - 2 2 y)

Apply rule:

(a) = a

(2 x + 2 y) = 2 x + 2 y

= 2 x + 2 y - (x - 2 2 y)

Apply the distributive law:

- (a - b) = - a + b

- (x - 2 2 y) = - x + 2 2 y

= 2 x + 2 y - x + 2 2 y

Group like terms

= 2 x - x + 2 y + 2 2 y

Add similar elements:

2 x - x = x

= x + 2 y + 2 2 y

Add similar elements:

2 y + 2 2 y = 3 2 y

= x + 3 2 y

\frac{3}{4} + \frac{7}{2} - \frac{3}{8}

\frac{( ( x ^{2} y ^{- 3} ) ^{\frac{1}{4}} )}{x ^{- 1} y ^{2}}

(1 - sin (θ)) (1 + sin (θ))

2 cos^{2} (2 x) - 2 sin^{2} (2 x)

(x + 1)^{2} + (x + 4)^{2} - 2 x^{2} - 10 x

What is (2sqrt(x)+sqrt(2y))-(sqrt(x)-2sqrt(2y)) ?
The solution to (2sqrt(x)+sqrt(2y))-(sqrt(x)-2sqrt(2y)) is sqrt(x)+3sqrt(2y)