Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.

(1.1)10000 = (1+0.1)10000We know that-HencePutting a = 1 & b = 0.1, we get-Hence, (1.1)10000 is larger than 1000.

Q10 of 36 Page 166

Using Binomial Theorem, indicate which number is larger (1.1)¹⁰⁰⁰⁰ or 1000.

(1.1)¹⁰⁰⁰⁰ = (1+0.1)¹⁰⁰⁰⁰

We know that-

Hence

Putting a = 1 & b = 0.1, we get-

Hence, (1.1)¹⁰⁰⁰⁰ is larger than 1000.

Using binomial theorem, evaluate each of the following:

(101)⁴

Using binomial theorem, evaluate each of the following:

(99)⁵

Find (a + b)⁴ – (a – b)⁴. Hence, evaluate

Find (x + 1)⁶ + (x – 1)⁶. Hence or otherwise evaluate .

Questions · 36

8. Binomial Theorem

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