Question

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

Answer 1

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

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

Answer 2

x⁴+2x²y+y²

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