JEE WhatsApp Group
Sign in
Please select an account to continue using cracku.in
↓ →
JEE WhatsApp Group
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
If $$A$$ denotes the sum of all the coefficients in the expansion of $$(1 - 3x + 10x^2)^n$$ and $$B$$ denotes the sum of all the coefficients in the expansion of $$(1 + x^2)^n$$, then :
To find the sum of all coefficients in a polynomial expansion, substitute $$x = 1$$.
$$A = (1 - 3(1) + 10(1)^2)^n = (1 - 3 + 10)^n = 8^n$$
$$B = (1 + (1)^2)^n = 2^n$$
Now, $$A = 8^n = (2^3)^n = 2^{3n} = (2^n)^3 = B^3$$.
The answer is $$A = B^3$$, which corresponds to Option (1).
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
