If p + m = 6 and p3 + m3 = 72, then the value of pm is from Qua

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61.

If p + m = 6 and p3 + m3 = 72, then the value of pm is

  • 6

  • 12

  • 9

  • 9


D.

9

left parenthesis straight p plus straight m right parenthesis cubed space equals space straight p cubed space plus space straight m cubed space plus space 3 pm space left parenthesis straight p space plus space straight m right parenthesis
rightwards double arrow space space left parenthesis 6 right parenthesis cubed space equals space 72 space plus space 3 pm space cross times space 6
rightwards double arrow space space 216 space minus space 72 space equals space 18 space pm
rightwards double arrow space space 18 space pm space equals space 144
rightwards double arrow space space space space pm space equals space 144 over 18 space equals space 8
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62.

If fraction numerator 2 straight p over denominator straight p to the power of straight r minus 2 straight p plus 1 end fraction space equals space 1 fourth comma then the value of open parentheses straight p plus 1 over straight p close parentheses is

  • 7

  • 2 over 5
  • 1

  • 1

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63.

If 2s = a + b + c, then the value of s(s - c) + (s - a) (s - b) is

  • ab

  • abc

  • 0

  • 0

195 Views

64.

If straight a squared plus straight b squared plus straight c squared space equals space ab space plus bc plus space ac then the value of fraction numerator straight a plus straight c over denominator straight b end fraction is

  • 0

  • 2

  • 1

  • 1

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65.

If ab + bc + ca = 0, then the value of open parentheses fraction numerator 1 over denominator straight a squared minus bc end fraction space plus space fraction numerator 1 over denominator straight b squared minus ca end fraction plus fraction numerator 1 over denominator straight c squared minus ab end fraction close parentheses is

  • 0

  • 1

  • 3

  • 3

182 Views

66.

If left parenthesis 2 plus square root of 3 right parenthesis straight a space equals space left parenthesis 2 minus square root of 3 right parenthesis straight b space equals space 1 then the value of 1 over straight a plus 1 over straight b is

  • 1

  • 2

  • 2 square root of 3
  • 2 square root of 3
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67.

If 3 straight x plus 3 over straight x space equals space 1, then straight x cubed plus 1 over straight x cubed plus 1 is

  • 0

  • 1 over 27
  • 5 over 27
  • 5 over 27
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68.

The factors of  are

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69.

If 4x + 5y = 83 and 3x : 2y =  21 : 22, then (y - x) is

  • 3

  • 4

  • 7

  • 11

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70.

If x = 11, then the value of 
  is

  • 5

  • 10

  • 15

  • 20

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