The expression, the fifth term of the binomial expansion is y^4
Binomial expansion
Binomial expansion is a means of expanding expressions into terms
Given the expression (x+y)^4, according to the theorem, as the power of x is decreasing, the power of y will be increasing up till the power of the expression.
Expand (x+y)^4
(x+y)^4 = x^4y^0 + x^3y^1 + x^2y^2 + xy^3 + x^0y^4
Include the coefficients according to the Pascal triangle to have:
(x+y)^4 = x^4y^0 + 4x^3y^1 + 6x^2y^2 + 4xy^3 + x^0y^4
(x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4
From the expression, the fifth term of the binomial expansion is y^4
Learn more on binomial expansion here: https://brainly.com/question/13672615
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