Question

The number of terms in (1 + x)101 (1 + x2 - x)100 is​

Answer 1

Step-by-step explanation:

(1+x)¹⁰¹ (1-x+x²)¹⁰⁰

=(1+x) (1+x)¹⁰⁰ (1-x+x²)

=(1+x) [(1+x) (1-x+x²)

=(1+x) [ (1-x³)¹⁰]

expansion ( 1-x³)¹⁰⁰ will have 100 + 1 =101 terms

So, (1+x) (1-x³)¹⁰ will have 2× 101 =202 terms

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