What is sqrt((x-h)^2+(y-k-c)^2) ?

The solution to sqrt((x-h)^2+(y-k-c)^2) is sqrt(x^2-2hx+h^2+y^2+k^2-2ky-2cy+2kc+c^2)

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simplify sqrt((x-h)^2+(y-k-c)^2)

simplify

(x - h)^{2} + (y - k - c)^{2}

x^{2} - 2 h x + h^{2} + y^{2} + k^{2} - 2 k y - 2 cy + 2 k c + c^{2}

Solution steps

(x - h)^{2} + (y - k - c)^{2}

Expand

(x - h)^{2} : x^{2} - 2 h x + h^{2}

= x^{2} - 2 h x + h^{2} + (y - k - c)^{2}

Expand

(y - k - c)^{2} : y^{2} + k^{2} - 2 k y - 2 cy + 2 k c + c^{2}

= x^{2} - 2 h x + h^{2} + y^{2} + k^{2} - 2 k y - 2 cy + 2 k c + c^{2}

(a + bi) (a - bi)

4000 (x - 8) e^{- \frac{x}{4} - 1}

2 (S \cdot ln (S) - S \cdot ln (n + S) + n \cdot ln (n) - n \cdot ln (n + S))

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

\frac{1}{2} (1.1 - 1) + \frac{1}{2}

What is sqrt((x-h)^2+(y-k-c)^2) ?
The solution to sqrt((x-h)^2+(y-k-c)^2) is sqrt(x^2-2hx+h^2+y^2+k^2-2ky-2cy+2kc+c^2)