Question

Given x + y = 11 and xy = 20 , Find the value of (x-y)²

Answer 1

Answer:

41

Step-by-step explanation:

${(x + y)}^{2} - {(x - y)}^{2} = 4xy$

${11}^{2} - {(x - y)}^{2} = 4(20)$

$121 - {(x - y)}^{2} = 80$

$121 - 80 = {(x - y)}^{2}$

$41 = {(x - y)}^{2}$

so answer is 41.