Answer:
Expanded form: \(32x^{5} + 160x^{4}y + 320x^{3}y^{2} + 320x^{2}y^{3} + 160xy^{4} + 32y^{5}\)
Fourth term: 320x^{2}y^{3}
Step-by-step explanation:
The expansion is given by the following rule:
\((nx + my)^{5} = (nx)^{5} + 5(nx^{4})(my) + 10(nx)^{3}(my)^{2} + 10(nx)^{2}(my)^{3} + 5(nx)(my^{4}) + (my)^{5}\)
Given this we just need to replace the values such as n = 2 and m = 2 for the binomial shown.
For the fourth term we just need to count after we have the expanded form and then we have our answer.
