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Find the 5th term in the expansion of (x – 2y)13. - Business Mathematics and Statistics

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प्रश्न

Find the 5th term in the expansion of (x – 2y)13.

योग

उत्तर

General term is tr+1 = nCr xn-r ar

(x – 2y)13 = (x + (-2y))13

Here x is x, a is (-2y) and n = 13

5th term = t5 = t4+1 = 13C4 x13-4 (-2y)4

= 13C4 x9 24 y

`= (13xx12xx11xx10)/(4xx3xx2xx1)`× 2 × 2 × 2 × 2× x9y4

= 13 × 11 × 10 × 8x9y4

= 13 × 880x9y4

= 11440x9y4

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Binomial Theorem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Algebra - Exercise 2.6 [पृष्ठ ४५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 2 Algebra
Exercise 2.6 | Q 3 | पृष्ठ ४५
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