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BINOMIAL THEOREM — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSBINOMIAL THEOREM1 Mark
MCQ
$(\sqrt{3}+1)^{5}-(\sqrt{3}+1)^{5}=$
  • ✓
    152
  • B
    142
  • C
    124
  • D
    162
✓

Answer

Correct option: A.
152
In the above binomial expansion, the terms at the odd position will get eliminated.
We would be left with
$2({^{5}}\text{C}_{1}(\sqrt{3})^{4}+{^5}\text{C}_{3}(\sqrt{3})^{2}+{^5}\text{C}_{5})$
$=2(5(3^2)+10(3)+1)$
$=2(45+30+1)$
$=2(76)$
$=152$

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