Class VIII

Which of the following are the factors of a2 + ab + bc + ca
  1. ab – a – b + 1 = (1 – a)(1 – b)
  2. ab – a – b + 1 = (a – 1)(b – 1)
  3. ab – a – b + 1 = (1 – a)(b – 1)
  4. ab – a – b + 1 = (a – 1)(1 – b)
Which of the following is the factorisation of x3 – x?
  1. x(x – x2)
  2. x[(1+ x) (1 – x)]
  3. x(x2 – x)
  4. x[(x + 1) (x – 1)]
Which of the following is the common factor of 21 x2y and 35 xy2?
  1. 7
  2. xy
  3. 7xy
  4. None of these
(y – x) (y + x) is equal to which of the following:
  1. y2 – yx
  2. yx – x2
  3. y2 – x2
  4. x2 – y2
Which of the following is quotient obtained on dividing (x2 – b) (x – a) by –(x – a)?
  1. (x2 – b)
  2. -(x2-b)/(x-a)
  3. –(x2 – b)
  4. – (x + a)
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