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Question
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
Solution
Given X = a2 – 1
Y = 1 – b2
X + Y = (a2 – 1) + (1 – b2)
= a2 – 1 + 1 – b2
We know the identity that a2 – b2 = (a + b)(a – b)
∴ X + Y = (a + b)(a – b)
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