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Identity (x+y)(x-y)

The number x ...

Question

The number x is we more than number y.If the sum of squares of x and y is 34;find the product of x and y.

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Solution

let the numbers x and y
x = y + 2
x² + y² = 34

x - y = 2
squaring, (x - y)² = 2²
x² + y² - 2 x y = 4
34 - 2 x y = 4
34-4=2xy
x y = 15

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