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

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

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

simplify

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

2 x + 2 x + y x - y

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 2 x + 2 x + y x - y

4 (3 m^{2} - 7 m + 2)^{2}

det (A) (3, 8) B (6, - 5) C (- 2, 4)

\frac{1}{2} (1 - cos (6 θ))

(- x + 4)^{2}

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