Simplify. (x^4+y^5)(x^4-y^5)+y^10

Name: Simplify. (x^4+y^5)(x^4-y^5)+y^10
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Question

Simplify. (x^4+y^5)(x^4-y^5)+y^10

Answer 1

To simplify the expression \((x^{4}+y^{5})(x^{4}-y^{5})+y^{10}\), we can use the difference of squares formula and then combine like terms.First, apply the difference of squares formula to \((x^{4}+y^{5})(x^{4}-y^{5})\):

This simplifies to:

Now, add

to the result:

Notice that

and

cancel each other out:

Therefore, the simplified expression is:

Question

Simplify. (x^4+y^5)(x^4-y^5)+y^10

Solution

Resposta