The division of the polynomials will be x² + xy + y².
What is a polynomial?
It should be noted that a polynomial simply means an expression that is composed of variables that are combined by using the mathematical operations. Polynomials are the sums of terms of the form k⋅xⁿ, where k is the number and n is a positive integer. An example, 3x+2x-5 is a polynomial
It should be noted that the polynomial given is:
= (x³ + y³)/(x + y)
= [(x - y)(x² + xy + y²) / (x - y)]
= x² + xy + y².
Therefore, the division of the polynomials will be x² + xy + y².
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