If a + b = 1,  then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

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 Multiple Choice QuestionsMultiple Choice Questions

51.

If p = 99, then the value of p(p2 + 3p + 3) is

  • 9999

  • 999999

  • 99999

  • 99999

1830 Views

52.

If straight x plus 1 over straight x space equals space straight c space plus 1 over straight c then the value of x is 

  • straight c 1 over straight c
  • straight c comma space straight c squared
  • c, 2c

  • c, 2c

363 Views

53.

A complete factorization of left parenthesis straight x squared plus 64 right parenthesis is

  • left parenthesis straight x squared plus 8 right parenthesis squared
  • left parenthesis straight x squared plus 8 right parenthesis thin space left parenthesis straight x squared minus 8 right parenthesis
  • left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x minus 8 right parenthesis
  • left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x minus 8 right parenthesis
415 Views

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54.

If a + b = 1,  then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

  • 1

  • 2

  • 4

  • 4


D.

4

straight a to the power of 4 plus straight b to the power of 4 minus straight a cubed minus straight b cubed minus 2 straight a squared straight b squared plus ab
equals straight a to the power of 4 plus straight b to the power of 4 minus 2 straight a squared straight b squared minus straight a cubed minus straight b cubed plus ab
equals space left parenthesis straight a squared minus straight b squared right parenthesis squared space minus space left parenthesis straight a cubed plus straight b cubed right parenthesis space plus space ab
equals space left parenthesis straight a plus straight b right parenthesis squared space left parenthesis straight a minus straight b right parenthesis squared space minus space left parenthesis straight a plus straight b right parenthesis thin space left parenthesis straight a squared minus ab plus straight b squared right parenthesis plus ab
equals space left parenthesis straight a minus straight b right parenthesis squared minus straight a squared plus ab minus straight b squared plus ab
space space space space left square bracket because space space straight a space plus space straight b space equals space 1 right square bracket
equals space left parenthesis straight a minus straight b right parenthesis squared space minus space left parenthesis straight a minus straight b right parenthesis squared space equals space 0
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55.

If x2 + y2 + 6x + 5 = 4 (x - y) then (x - y) is

  • 1

  • -1

  • 0

  • 0

782 Views

56.

If a = 299,  b = 298,  c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is

  • 5154

  • 5267

  • 5364

  • 5364

1365 Views

57.

If straight x plus 1 over straight x space equals square root of 3, the value of left parenthesis straight x to the power of 18 space plus space straight x to the power of 12 space plus space straight x to the power of 6 space plus space 1 right parenthesis is 

  • 0

  • 1

  • 2

  • 2

483 Views

58.

If straight x space equals space 1 plus square root of 2 plus square root of 3 comma space then the value of left parenthesis 2 straight x to the power of 4 minus 8 straight x cubed minus 5 straight x squared plus 26 straight x minus 28 right parenthesis is

  • 2 square root of 2
  • 3 square root of 3
  • 5 square root of 5
  • 5 square root of 5
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59.

If 2 straight r space equals space straight h space plus space square root of straight r squared plus straight h squared end root, then the ratio r : h (r ≠ 0) is

  • 1 : 2

  • 2 : 3

  • 4 : 3

  • 4 : 3

271 Views

60.

If fraction numerator 3 minus 5 straight x over denominator 2 straight x end fraction plus fraction numerator 3 minus 5 straight y over denominator 2 straight y end fraction plus fraction numerator 3 minus 5 straight z over denominator 2 straight z end fraction space equals space 0 comma the value of 2 over straight x plus 2 over straight y plus 2 over straight z is

  • 20

  • 5

  • 10

  • 10

190 Views

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