The factors of a²-1-2x-x² are
A. (a-x+1)(a-x-1)
B. (a+x-1)(a-x+1)
C. (a+x+1)(a-x-1)
D. none of these
Answers
Answered by
5
thus Option C is correct.
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Answered by
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Given : We have to find the factors of a² - 1- 2x - x².
By grouping the terms :
= a² - (1 + 2x + x²)
By using the identity, a² + 2ab + b² = (a + b)² :
= a² - (1 + x²)
By using the identity, a² - b² = (a + b) (a - b):
= (a + 1 x) (a - (1 + x)
= (a + 1 + x) (a - 1 - x)
Hence, the factors of a² - 1- 2x - x² is (a + 1 + x) (a - 1 - x).
Option (C) (a + 1 + x) (a - 1 - x) is correct.
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