Use the binomial Theorem to write the 5th term of the binomial expression

1.) (2y-5) ^9 2.) (x+3y^2) ^11

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Rebel

Mathematics

22 August, 23:37

Use the binomial Theorem to write the 5th term of the binomial expression

1.) (2y-5) ^9 2.) (x+3y^2) ^11

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Dodson · Answer 1

1. 2,520,000 y^5.

2. 26730 x^7 y^8.

Step-by-step explanation:

1. (2y - 5) ^9

(r + 1) th term of (a + b) ^n = nCr a^ (n-r) b^r

So the 5th, (4+1) th term, = 9C4 (2y) ^ (9-4) (-5) ^4

= 126 * 2^5 * y^5 * 625

= 2,520,000 y^5.

2. (x + 3y^2) ^11.

5th term = 11C4 x^ (11-4) (3y^2) ^4

= 330*x^7*81*y^8.

= 26730 x^7 y^8.

Use the binomial Theorem to write the 5th term of the binomial expression1.) (2y-5) ^9 2.) (x+3y^2) ^11

Use the binomial Theorem to write the 5th term of the binomial expression

1.) (2y-5) ^9 2.) (x+3y^2) ^11