Question

the binomial expansion of (x + y^2)^2 is

Answer 1

Express this as two expressions:  
$(x+y^2)(x+y^2)$  
Distribute,  
$x^2 + xy^2 + xy^2 + y^4$  
And now simplify:  
$x^2 + 2xy^2 + y^4$

Answer 2

Answer:

$x^{2}+y^{4}+2xy^{2}$

Step-by-step explanation:

The given expression is (x + y²)² and we have to simplify it to find the binomial expansion.

(x + 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 = x and b = y²

(x + y²)² = x² + (y²)² + 2(x)(y²)

            = $x^{2}+y^{4}+2xy^{2}$

Therefore answer is $x^{2}+y^{4}+2xy^{2}$