what is binomial theorm
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a formula for finding any power of a binomial without multiplying at length.
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Answer:
Step-by-step explanation:
Binomial theorem is all about expansion of an exponent.
Where variables can be found with this rule -
a^n-k into b^k
and, coefficient can be found by
1 (for 0 degree)
1 1 (for 1 degree)
1 2 1 (for degree 2)
1 3 3 1 (for degree 3)
For example,
(a+b)^3
Here is degree 3, so, n=3
Then
Variable terms are (when n=3 and k=0, 1, 2, 3)
a^3+ a^2b + ab^2 + b^3
Now their coefficient can be found by looking at the above tree.
1 3 3 1
Let's write the final expansion
a^3+ 3a^2b + 3ab^2 + b^3
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