8th ALGEBRAIC EXPRESSION AND IDENTITIES


8th ALGEBRAIC EXPRESSION AND IDENTITIES

  1. If ( x - 1/ x ) = 3 .Find the value of (x3 + 1/x3 )
  2. Find the remainder obtained by dividing x3 + 3 x2 - 5x + 4 by x + 1
  3.  Evaluate using algebraic identities (54)2 ; (78) 2; (999) 2
  4. If x - y = 7, x y = 9 Find the value of x2 + y2
  5.  If x + y = 12 , x y = 27 Find the value of x3 + y3
  6. If a2 + b2 + c2 =20 , a + b + c = 6 find a b + bc + ca
  7. What must be subtracted from 4p2 - 2pq - 6q2 - r +5 to get - p2 + pq - 8q2 - 2r+5
  8. Factorise a3 + b3 + c3 - 3abc
  9. Divide (1) x3 - 1 by x – 1
  10. Divide  7 +15x -13x2 +5x3 by 4 - 3x + x2
  11. Evaluate  1.53 - 0.93 - 0.63
  12. Evaluate (a - b)3 + (a + b)3
  13.  Evaluate (x + 2y -3z)2 + (x - 2y +3z)2
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