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

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

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

simplify

(a + 1 - a)^{2}

2 a 1 - a + 1

Solution steps

(a + 1 - a)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 2 a 1 - a + 1

100 + 25

\frac{56}{5}

- 6.05 + (- 3.611)

(- 4 sin (t))^{2} + (4 cos (t))^{2}

(7 x^{2} - x - 2) - (- 6 x^{3} + 3)

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