二项式定理是初等数学中内容最丰富的定理之一．由于它建立了组合数与二项式的展开式及其特定项之间的深刻联系,使得它在推证组合数恒等式、确定二项式的展开式及其特定项、数或式的值估计、近似计算、整除及余数的确定等许多地方有着广泛的应用,下面举例说明． Binomial theorem is one of the most abundant theorems in elementary mathematics. Because it establishes a deep connection between the number of combinations and the expansion of the binomial and its specific terms, it makes it possible to deduce the identity of combinatorial numbers, determine the expansion of the binomial formula, and estimate the value of specific items, numbers, or formulas. , Approximation, divisibility, and remainder determination are widely used in many places.