Question

how to solve binomial coefficient?

Answer 1

Depending on how many times you must multiply the same binomial — a value also known as an exponent — the binomial coefficients for that particular exponent are always the same. The binomial coefficients are found by using the combinations formula. If the exponent is relatively small, you can use a shortcut called Pascal‘s triangle to find these coefficients. If not, you can always rely on algebra! Pascal‘s triangle, named after the famous mathematician Blaise Pascal, names the binomial coefficients for the binomial expansion. It is especially useful when raising a binomial to lower degrees. For example, if a sadistic teacher asked you 10 to find (3x + 4) , you probably wouldn’t want to use Pascal’s triangle; instead, you’d just use the algebraic formula described shortly. The figure illustrates this concept. The top number of the triangle is 1, as well as all the numbers on the outer sides. To get any term in the triangle, you find the sum of the two numbers above it.

Answer 2

for eg--
(1)5xyz2; -3zy
:-binomial
numerical coefficient. :- 5,-3
algebraic coefficient :- xyz2 ,zy