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AP EAMCET202317 May 2023Evening ShiftMathematicsBinomial TheoremActual

(3+ 8 )^5+(3- 8 )^5=

Options

  1. A6926
  2. B6826
  3. C6726
  4. D6626

Correct answer

C. 6726

Step-by-step solution

(3+ 8 )^5+(3- 8 )^5 aligned & = ^n C₀ 3^5+ ^n C₁ 3^4 8 + ^n C₂ 3^3( 8 )^2+ ^n C₃ 3^2( 8 )^3 & + ^n C₄ 3( 8 )+ ^n C₅ 3^0( 8 )^5+ ^n C₀ 3^5+ ^n C₁ 3^4(- 8 ) aligned aligned & + ^n C₂ (3)^3(- 8 )^2+ ^n C₃(3)^2(- 8 )^3+ ^n C₄(3) (- 8 )^4 & + ^n C₅(3)^0(- 8 )^5 & =2.3^5+2 ^5 C₂ 3^3 8+2 ^5 C₄ 3(64) & =2 243+2 10 27 8+2 5 3 64=6726 aligned

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