The binomial expansion of (x^2+y) ^2 is?

x⁴+2x²y+y²

Step-by-step explanation:

Given the equation (x²+y) ², to expand, we will open the bracket by multiplyimg the function x²+y by itself to have;

(x²+y) ² = (x²+y) (x²+y)

(x²+y) ² = x⁴+x²y+x²y+y²

(x²+y) ² = x⁴+2x²y+y²

Therefore the expansion form of (x²+y) ² is x⁴+2x²y+y²

x^4+2x^2y+y^2

Step-by-step explanation:

first we expand the brackets

(x^2+y) (x^2+y)

the it will become

x^4+x^2y+yx^2+y^2

then finally the answer will become

, x^4+2x^2y+y^2