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Select the correct answer from the given alternatives. The number of terms in expansion of (4y + x)8 − (4y − x)8 - Mathematics and Statistics

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प्रश्न

Select the correct answer from the given alternatives.

The number of terms in expansion of (4y + x)8 − (4y − x)8 

पर्याय

  • 4

  • 5

  • 8

  • 9

MCQ

उत्तर

4

Explanation;

(4y + x)8 has 9 terms, (4y – x)8 has 9 terms

Their difference

= `2[""^8"C"_1 (4y)^7 x + ""^8"C"_3 (4y)^5 x^3 + ""^8"C"_5 (4y)^3 x^5 + ""^8"C"_7 (4y)x^7]`

Required number = 4

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General Term in Expansion of (a + b)n
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Methods of Induction and Binomial Theorem - Miscellaneous Exercise 4.1 [पृष्ठ ८५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Methods of Induction and Binomial Theorem
Miscellaneous Exercise 4.1 | Q I. (5) | पृष्ठ ८५

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