Hello aspirant,
For the given question, you need to solve by Binomial Theorem of mathematics which states the possible way of expanding the polynomial ( x + y ) n into a sum, involving terms such as ax b y c .
By this, if we apply the general formula, then the coefficient of x ^100 in the given equation will be C(201, 201-100)= C(201,101). NOTE: Here we are using combination to calculate the answer, according to the mathematical formula. And since 1 raised to the power of any number >0 is 1, so we can ignore the term.
Hope this helps.
Feel free to ask for any other queries in the comment section.
Hello Aspirant
The coefficient of x^100 in the (1+x) +(1+x)^2 +(1+x)^3 +.........+(1+x)^200 is 201C101
You can solve this by the coefficent method and you can check out the solvation videos in many videos on google.
Hope it helps
Thank you & Good Luck!!!
Question : What is the LCM of $\left(8 x^3+80 x^2+200 x\right)$ and $\left(4 x^4+16 x^3-20 x^2\right)$?
Option 1: $8 x^2(x+5)^2(x-1)$
Option 2: $8 x^2(x-1)^2(x+5)$
Option 3: $4 x^2(x-1)^2(x+5)$
Option 4: $4 x^2(x+5)^2(x-1)$
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