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Polynomials by monomial

Polynomials by monomial-example-1

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Answer:


-(2y+5z+7xz)/(x)

Explanation:

Given expression:


(6xy^2+15xyz+21x^2yz)/(-3x^2y)

Factor out the common term 3xy from the numerator and the denominator of the given expression:


(3xy(2y+5z+7xz))/(3xy(-x))

Cancel the common factor:


(2y+5z+7xz)/(-x)


\textsf{Apply\;the\;fraction\;rule:\;$(a)/(-b)=-(a)/(b)$}


-(2y+5z+7xz)/(x)

Therefore, the simplified expression is:


\large\boxed{\boxed{-(2y+5z+7xz)/(x)}}

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