Divide: $36 x^{2} y^{5} + 42 x y^{3} - 24 x^{3} y^{2} - 12 y^{5}$ by $- 6 y^{2}$

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Solution

Division of algebraic expression
Division of a polynomial by a monomial: Divide each term of the polynomial by the monomial.
$36 x^{2} y^{5} + 42 x y^{3} - 24 x^{3} y^{2} - 12 y^{5}$ by $- 6 y^{2}$
$= \frac{36 x^{2} y^{5} + 42 x y^{3} - 24 x^{3} y^{2} - 12 y^{5}}{- 6 y^{2}}$
$= \frac{36 x^{2} y^{5}}{- 6 y^{2}} + \frac{42 x y^{3}}{- 6 y^{2}} - \frac{24 x^{3} y^{2}}{- 6 y^{2}} - \frac{12 y^{5}}{- 6 y^{2}} = - 6 x^{2} y^{3} - 7 x y + 4 x^{3} + 2 y^{3}$
Therefore, the result is $- 6 x^{2} y^{3} - 7 x y + 4 x^{3} + 2 y^{3}$ .

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Divide: 36x2y5+42xy3-24x3y2-12y5 by -6y2

Division of algebraic expressionDivision of a polynomial by a monomial: Divide each term of the polynomial by the monomial.36x2y5+42xy3-24x3y2-12y5 by -6y2=36x2y5+42xy3-24x3y2-12y5-6y2=36x2y5-6y2+42xy3-6y2-24x3y2-6y2-12y5-6y2=-6x2y3-7xy+4x3+2y3Therefore, the result is -6x2y3-7xy+4x3+2y3.

Divide: $36 x^{2} y^{5} + 42 x y^{3} - 24 x^{3} y^{2} - 12 y^{5}$ by $- 6 y^{2}$