Question

The degree of each term in the binomial expansion of (x−y)⁵ is

(a). 4
(b). 5
(c). 6
(d). -5

Answer 1

In the binomial expansion of (x−y)⁵, the degree of each term is 5. This is because in the expansion, the exponents of x and y in each term will always add up to the exponent of the binomial, which is 5.

Step-by-step explanation:

The degree of each term in the binomial expansion of (x−y)⁵ is 5. Binomial expansion according to the binomial theorem allows any expression of the form (a + b)⁵ to be expanded into a sum involving terms of a and b to the power of integers. In the binomial expansion of (x−y)⁵, each term involves powers of x and y that add up to 5, which is the exponent on the binomial. For example, the first term will be x⁵ (which is x⁵y°, as any number to the zero power is 1) and the second term will be 5x⁴y¹, and so on until the last term, which will be y