What is (sqrt(1+x)+sqrt(1-x))^2 ?

The solution to (sqrt(1+x)+sqrt(1-x))^2 is 2sqrt(1+x)sqrt(1-x)+2

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simplify (sqrt(1+x)+sqrt(1-x))^2

simplify

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

2 1 + x 1 - x + 2

Solution steps

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

Apply Perfect Square Formula:

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

(1 + x + 1 - x)^{2} = (1 + x)^{2} + 2 1 + x 1 - x + (1 - x)^{2}

= (1 + x)^{2} + 2 1 + x 1 - x + (1 - x)^{2}

Simplify

(1 + x)^{2} + 2 1 + x 1 - x + (1 - x)^{2} : 2 1 + x 1 - x + 2

= 2 1 + x 1 - x + 2

\frac{d}{d x} ((z) (x^{3} y^{3} z^{3} + ln (y^{5} z^{4})))

- r P (1 - \frac{P}{K}) (1 - \frac{P}{T})

ln (4 x^{3} y)

20 lo g_{10} (x z)

(2 x - 1) x

What is (sqrt(1+x)+sqrt(1-x))^2 ?
The solution to (sqrt(1+x)+sqrt(1-x))^2 is 2sqrt(1+x)sqrt(1-x)+2