Answer: (x^2+y)^2 is x^4 + xy^2 + x^2y + y^2.
Explanation:
The expression (x^2+y)^2 can be rewritten correctly using the FOIL method, which stands for First, Outer, Inner, and Last.
Applying the FOIL method to (x^2+y)^2 gives:
(x^2+y)^2 = (x^2+y)(x^2+y)
= x^2(x^2+y) + y(x^2+y) (expand using the distributive property)
= x^4 + xy^2 + x^2y + y^2 (combine like terms)
Therefore, the correct way to rewrite (x^2+y)^2 is x^4 + xy^2 + x^2y + y^2.
Graham can also convince Jonah that (x^2+y)^2 cannot be simplified any further since it is already fully expanded.