Question

Polynomials by monomial

Answer 1

`-(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)}}`