You might as well try to rush the Proof of the binomial theorem.
(a) Write the middle term of the expansion of by the binomial theorem.
Very like the binomial theorem as one thought over that comparison.
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.
The binomial theorem operates irrespective of the values substituted for its symbols.
A chapter catches my attention in the middle of the volume; it is headed, Newton's binomial theorem.
What can a binomial theorem be, especially one whose author is Newton, the great English mathematician who weighed the worlds?
Expand each term by the binomial theorem, and let us fix our attention on the coefficient of yn−1.
At the age of twenty-one he wrote a treatise upon the binomial theorem, which has had a European vogue.
binomial theorem Mathematics 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 x^{m}, the second term is mx^{m-1}y, and for each additional term the power of x decreases by 1 while the power of y increases by 1, until the last term y^{m} is reached. The coefficient of x^{m-r} is m![r!(m-r)!]. Thus the expansion of (a + b)^{3} is a^{3} + 3a^{2}b + 3ab^{2} + b^{3}. |