If x-y =7 and xy=9
Find the value of x square - y square
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Step-by-step explanation:
Take x - y = 7 and square both sides
(x - y)^2 = 7^2
x^2 - 2xy + y^2 = 49
Move the -2xy term to the opposite side by adding 2xy to both sides
x^2 + y^2 = 49 + 2xy
Since xy = 9, 2xy = 18
x^2 + y^2 = 49 + 18
x^2 + y^2 = 67
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