What is (sqrt(v+h+3)-sqrt(v+3))^2 ?

The solution to (sqrt(v+h+3)-sqrt(v+3))^2 is 2v+h-2sqrt(v+h+3)sqrt(v+3)+6

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simplify (sqrt(v+h+3)-sqrt(v+3))^2

simplify

(v + h + 3 - v + 3)^{2}

2 v + h - 2 v + h + 3 v + 3 + 6

Solution steps

(v + h + 3 - v + 3)^{2}

Apply Perfect Square Formula:

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

(v + h + 3 - v + 3)^{2} = (v + h + 3)^{2} - 2 v + h + 3 v + 3 + (v + 3)^{2}

= (v + h + 3)^{2} - 2 v + h + 3 v + 3 + (v + 3)^{2}

Simplify

(v + h + 3)^{2} - 2 v + h + 3 v + 3 + (v + 3)^{2} : 2 v + h - 2 v + h + 3 v + 3 + 6

= 2 v + h - 2 v + h + 3 v + 3 + 6

(a t - t)^{9}

(sin (x) - 3 cos (x))^{2}

sin (2) (x + \frac{π}{4})

(y - x)^{2} \cdot (\frac{4 x ^{2} y}{3})

2 \cdot (3 - 1)

What is (sqrt(v+h+3)-sqrt(v+3))^2 ?
The solution to (sqrt(v+h+3)-sqrt(v+3))^2 is 2v+h-2sqrt(v+h+3)sqrt(v+3)+6