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The factors of a2 - 1 - 2x - x2 areA. (a - x + 1)(a - x - 1) B. (a + x - 1)(a - x + 1) C. (a + x + 1)(a - x - 1) D. none of these |
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Answer» We have, \(=a^{2}-1-2\text{x}-\text{x}^{2}\) \(=a^{2}-(1+2\text{x}+\text{x}^{2})\) \(=a^{2}-(1+\text{x})^{2}\) \(=(a-1-\text{x})(a+1+\text{x})\) \([a^{2}-b^{2}=(a+b)(a-b)]\) Thus, the factors of \(a^{2}-1-2\text{x}-\text{x}^{2}\,are \,(a-1-\text{x})(a+1+\text{x}).\) |
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