The binomial theorem operates irrespective of the values substituted for its symbols.
You might as well try to rush the Proof of the binomial theorem.
At the age of twenty-one he wrote a treatise upon the binomial theorem, which has had a European vogue.
(a) Write the middle term of the expansion of by the binomial theorem.
In this letter he gave a much fuller account of his binomial theorem and indicated a method of proof.
Very like the binomial theorem as one thought over that comparison.
The activity of mind awakened by music over waters is very different from that awakened by the binomial theorem.
At nineteen such a woman is still immature; and moreover until she was twenty, Honoria had not mastered the binomial theorem.
Suppose we are concerned in proving the law of expansion of the binomial theorem.
A chapter catches my attention in the middle of the volume; it is headed, Newton's binomial theorem.
|binomial theorem |
The theorem that specifies the expansion of any power of a binomial, that is, (a + b)m. According to the binomial theorem, the first term of the expansion is xm, the second term is mxm-1y, and for each additional term the power of x decreases by 1 while the power of y increases by 1, until the last term ym is reached. The coefficient of xm-r is m![r!(m-r)!]. Thus the expansion of (a + b)3 is a3 + 3a2b + 3ab2 + b3.