Question

evaluate the expression.
$(x - a)^2 + (y - b)^2$ for $x = -3, y = 7, a = -2$, and $b = 9$

Explanation:

Step1: Substitute values into \((x - a)^2\)

Substitute \(x = -3\) and \(a = -2\) into \((x - a)^2\): \((-3 - (-2))^2 = (-3 + 2)^2 = (-1)^2 = 1\)

Step2: Substitute values into \((y - b)^2\)

Substitute \(y = 7\) and \(b = 9\) into \((y - b)^2\): \((7 - 9)^2 = (-2)^2 = 4\)

Step3: Add the two results

Add the results from Step1 and Step2: \(1 + 4 = 5\)

Answer:

5