Mark the Correct Alternative in Each of the Following: the Factors of A2 − 1 − 2x − X2 Are - Mathematics

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MCQ

Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are

Options

  • (a − x + 1) (a − x − 1)

  • (a + x − 1) (a − x + 1)

  • ` (a+x+1)(a- x -1)`

  • none of these

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Solution

The given expression to be factorized is `a^2 - 1 -2x - x^2`

Take common -1from the last three terms and then we have

 a2 − 1 − 2x − x` = a^2 - (1 + 2x + x^3)`

 `=  a^2 - {(1)^2 + 2.1.x + (x)^2}`

` = a^2 - (1+x)^2`

` = (a)^2 - (1 + x)^2`

` = {a+ (1+x)}{ a-(1+x)}`

`= (a+1 + x)(a-1-x)`

` = (a+x+1)(a- x -1)`

  Is there an error in this question or solution?
Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.6 [Page 26]

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.6 | Q 8 | Page 26

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