What is (sqrt(x+h)+h)^2 ?

The solution to (sqrt(x+h)+h)^2 is x+h+2hsqrt(x+h)+h^2

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simplify (sqrt(x+h)+h)^2

simplify

(x + h + h)^{2}

x + h + 2 h x + h + h^{2}

Solution steps

(x + h + h)^{2}

Apply Perfect Square Formula:

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

(x + h + h)^{2} = (x + h)^{2} + 2 x + h h + h^{2}

= (x + h)^{2} + 2 x + h h + h^{2}

(x + h)^{2} = x + h

2 x + h h = 2 h x + h

= x + h + 2 h x + h + h^{2}

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

\frac{c ( x - 5 )}{x ^{2} + a x + b}

(\frac{1}{2} x^{2} + 2 x + 2)^{2}

(1 - cos (x)) (- cos (x))

(tan (x) + 4) (tan^{2} (x) - 4 tan (x) + 16)

What is (sqrt(x+h)+h)^2 ?
The solution to (sqrt(x+h)+h)^2 is x+h+2hsqrt(x+h)+h^2