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If x² - y² = 255 and x + y = 17, then find x - y.
Question

If x² - y² = 255 and x + y = 17, then find x - y.

A.

12

B.

15

C.

10

D.

8

Correct option is B

Given:
x2y2=255x^2 - y^2 = 255​​
x + y = 17
Formula Used:
x2y2x^2 - y^2​ = (x - y)(x + y)
Solution:
Substitute the known value into the algebraic identity.
(x - y)(x + y) = 255
(x - y) × 17 = 255
x - y = 25517\frac{255}{17}​​
x - y = 15
Final Answer
So the correct answer is (b)

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