The binomial expansion of (x²+y²)² is x⁴ +y⁴ + 2x²y²
What is binomial expansion?
The theorem states that any power of a binomial (a + b)ⁿ can be expanded as a specific sum of products (), such as (a + b)² = a² + 2ab + b².
Given
The given expression is (x² + y²)² and we have to simplify it to find the binomial expansion.
(x ²+ y²)² is in the form of (a + b)².
When we expand (a + b)² we get the binomial expression
(a + b)² = a² + b² + 2ab
Now we put the value of a = x² and b = y²
(x² + y²)² = (x²)² + (y²)² + 2(x²)(y²)
= x⁴ + y⁴ + 2x²y²
To know more about binomial expansion refer to :
https://brainly.com/question/13672615
#SPJ2
