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The value of 1-x41+x÷1+x2x×1x(x-1) is: (If x is not equal to, 0, – 1, 1) -

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Question

The value of `(1 - x^4)/(1 + x) ÷ (1 + x^2)/x xx 1/(x(x - 1))` is: (If x is not equal to, 0, – 1, 1)

Options

  • 2

  • 0

  • 1

  • – 1

MCQ

Solution

– 1

Explanation:

`(1 - x^4)/(1 + x) ÷ (1 + x^2)/x xx 1/(x(x - 1))`

`((1)^2 - (x^2)^2)/(1 + x) ÷ (1 + x^2)/x xx 1/(x(x - 1))`

= `((1 - x^2)(1 + x^2))/(1 + x) xx x/((1 + x^2)) xx 1/(x(x - 1))`

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

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

Let `x` = 2

`((1 - 2))/((2 - 1)) = (-1)/1` = – 1

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Algebraic Identities and Polynomials (Entrance Exam)
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