What is expand sqrt(h)(sqrt(h+1)-sqrt(h)= 1/2) ?

The solution to expand sqrt(h)(sqrt(h+1)-sqrt(h)= 1/2) is sqrt(h^2+h)-h=0.5

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expand sqrt(h)(sqrt(h+1)-sqrt(h)= 1/2)

expand

h (h + 1 - h = \frac{1}{2})

h^{2} + h - h = 0.5

Solution steps

h (h + 1 - h = \frac{1}{2})

= (h + 1 - \frac{1}{2} = h) h

Apply the distributive law:

a (b - c) = ab - a c

a = h, b = h + 1, c = h = \frac{1}{2}

h h + 1 - h h = \frac{1}{2}

Simplify

h h + 1 - h h = \frac{1}{2} : h^{2} + h - h = 0.5

h^{2} + h - h = 0.5

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\frac{( 4 z - 1 ) ^{2} ( 3 z + 1 )}{48}

What is expand sqrt(h)(sqrt(h+1)-sqrt(h)= 1/2) ?
The solution to expand sqrt(h)(sqrt(h+1)-sqrt(h)= 1/2) is sqrt(h^2+h)-h=0.5