Question

If (x+y)^2=105 and x^2+y^2=65, what is the value of xy ?

Answer 1

(x + y) ^2 = 105

x^2 + 2xy + y^2 = 105

x^2 + y^2 + 2xy = 105

{Given that } x^2 + y^2 = 65,

65 + 2xy = 105

2xy = 105 - 65

2xy = 40

xy = 20

{Answer: xy = 20]

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Answer 2

x^2+y^2+2xy=105
65+2xy=105
2xy=40
xy=20