The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
The given expression is [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }[/tex].
We need to divide and simplify the given expression.
How to divide binomial by monomial?
Division of polynomials by monomial means dividing the polynomials which are written as numerators by a monomial which is written as denominators to find their quotient.
Split the denominators to each numerator and cancel out the common terms and simplify.
Now, [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }=\frac{18x^{3}y^{2}}{3x^{2} y^{2}} +\frac{9x^{2} y^{5}}{3x^{2} y^{2}}[/tex]
=6x+3y³
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
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