What is (sqrt(a)+sqrt(b))^2 ?

The solution to (sqrt(a)+sqrt(b))^2 is a+2sqrt(a)sqrt(b)+b

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simplify (sqrt(a)+sqrt(b))^2

simplify

(a + b)^{2}

a + 2 a b + b

Solution steps

(a + b)^{2}

Apply Perfect Square Formula:

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

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

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

(a)^{2} = a

(b)^{2} = b

= a + 2 a b + b

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(1 - cos (t))^{2}

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tan (x) (cot (x) - csc (x))

(a + bi)^{4}

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