Binomial theorem

Template:Image frame In elementar algebra, the binomial theorem (or binomial expansion) descrives the algebraic expansion o pouers o a binomial. Accordin tae the theorem, it is possible tae expand the polynomial Template:Math intae a sum involvin terms o the form Template:Math, whaur the exponents Template:Mvar an Template:Mvar are nonnegative integers wi Template:Math, an the coefficient Template:Mvar o ilk term is a speceefic positive integer depending on Template:Mvar and Template:Mvar. For ensaumple (for Template:Math),

$(x+y)^{4}=x^{4}+4x^{3}y+6x^{2}y^{2}+4xy^{3}+y^{4}.$