The number of terms in the expansion of `(1+x)^(101) (1+x^2-x)^(100)` in powers of x is

Explanation

`(1 + x)^101 (1 + x^2 - x)^100`

`= (1 + x)(1 +x)^100 (1 + x^2 - x)^100`

`= (1+x)[(1+x)(1-x+x^2)]^100`

`= (1+x)(1+x^3)^100`

`= (1+x)(a_o + a_1 x^3 + a_2x^9 + ..... + a_100 x^300)`

`= a_0 + a_1 x^3 + a_2 x^6 + ..... + a_100 x^300`

` a_0 x + a_1 x^4 + a_2 x^7 + .... + a_100 x^301`

cant simplify so

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