Question

Expand the binomial (2x + y^2)^5.



The fourth term in the expansion of the binomial (2x + y^2)^5 is _____

Answer 1

(2x + y^2)^5 = (2x)∧5 + 5(2x)∧4×y² + 10(2x)∧3×y∧4 + 10(2x)²×y∧6 + 5(2x)y∧8 +y∧10
  
  = 32x∧5 +80x∧4y² + 80x∧3y∧4 + 40x²y∧6 + 10xy∧8 + y∧10

The fourth term of the binomial expansion (2x + y^2)^5 is 40x²y∧6