Q. Factor the expression completely.y5+x2y5Answer:
Identify common factors: Identify common factors in both terms.Both terms y5 and x2y5 have a common factor of y5.
Factor out common factor: Factor out the common factor from both terms.We can factor y5 out of both terms to get y5(1+x2).
Check for further factorization: Check if the remaining expression inside the parentheses can be factored further.The expression 1+x2 cannot be factored further over the real numbers because it is not a difference of squares and has no common factors.
Write final factored form: Write the final factored form.The completely factored form of the expression is y5(1+x2).
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