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Help Graham find as many ways as possible to convince Jonah that he is incorrect. How can he rewrite (x^2+y)^2 correctly?

User Rough
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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.

User Summit Raj
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