Perform the indicated divisions of polynomials by monomials. frac{-18x^{2}y^{2}+24x^{3}y^{2}-48x^{2}y^{3}}{6xy}

ddaeeric

ddaeeric

Answered question

2021-01-10

Perform the indicated divisions of polynomials by monomials.
18x2y2+24x3y248x2y36xy

Answer & Explanation

crocolylec

crocolylec

Skilled2021-01-11Added 100 answers

A polynomial is an expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power.
Here the given polynomial is a trinomial.
To divide a polynomial by monomial, divide each term of the polynomial by the monomial.
Divide the trinomial by the monomial 6xy.
Simplify the terms which are under division.
Calculation:
Consider the polynomial 18x2y2+24x3y248x2y36xy.
Divide each term of the polynomial by the monomial 6xy.
18x2y2+24x3y248x2y36xy=(18x2y26xy)+(24x3y26xy)+(48x2y36xy)
(18x2y26xy)+(24x3y26xy)+(48x2y36xy)=3xy+4x2y8xy2
The simplified value of the polynomial is 3xy+4x2y8xy2.
Final statement:
The simplified value of the polynomial after division is equals to 3xy+4x2y8xy2.

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