The quotient of 15x^4y^2-30x^2y^3+45xy/5xy is 3x^3y - 6xy^2 + 9. When this quotient is divided by 3, the result is x^3y-2xy^2+3
How to evaluate the quotient?
The expression is given as:
15x^4y^2-30x^2y^3+45xy/5xy
Rewrite properly as:
(15x^4y^2-30x^2y^3+45xy)/5xy
Evaluate the quotient.
3x^3y - 6xy^2 + 9
This means that the quotient 15x^4y^2-30x^2y^3+45xy/5xy is 3x^3y - 6xy^2 + 9
Next, we have:
(3x^3y - 6xy^2 + 9)/(x^3y-2xy^2+3)
Factor out 3 in the numerator
3(x^3y - 2xy^2 + 3)/(x^3y-2xy^2+3)
Evaluate
3
Hence, the quotient divided by 3 is x^3y-2xy^2+3
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