Simplify. (12x^(3)y^(3)+10x^(2)y^(3)-12x^(2)y^(2)+12 xy^(3))/(2xy)

Factor out common terms: We will start by factoring out the common terms in the numerator and canceling them with the denominator. (12x^(3)y^(3)+10x^(2)y^(3)-12x^(2)y^(2)+12xy^(3))/(2xy) = (2xy)(6x^(2)y^(2)+5xy^(2)-6xy+6y^(2))/(2xy)Cancel common terms: Now we cancel the common factor of 2xy in the numerator and the denominator. (2xy)(6x^(2)y^(2)+5xy^(2)-6xy+6y^(2))/(2xy) = 6x^(2)y^(2)+5xy^(2)-6xy+6y^(2)Simplify expression: We can now simplify the expression by combining like terms if there are any. However, in this case, there are no like terms to combine. So the final simplified form is 6x^(2)y^(2)+5xy^(2)-6xy+6y^(2).

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Simplify.
(12x^(3)y^(3)+10x^(2)y^(3)-12x^(2)y^(2)+12 xy^(3))/(2xy)

Simplify. $\newline$ $\frac{12 x^{3} y^{3}+10 x^{2} y^{3}-12 x^{2} y^{2}+12 x y^{3}}{2 x y}$

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Calculus

Find derivatives of using multiple formulae

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Q. Simplify.

\newline

\frac{12 x^{3} y^{3}+10 x^{2} y^{3}-12 x^{2} y^{2}+12 x y^{3}}{2 x y}

Factor out common terms: We will start by factoring out the common terms in the numerator and canceling them with the denominator. $\newline$ $(12x^{3}y^{3}+10x^{2}y^{3}-12x^{2}y^{2}+12xy^{3})/(2xy) = (2xy)(6x^{2}y^{2}+5xy^{2}-6xy+6y^{2})/(2xy)$
Cancel common terms: Now we cancel the common factor of $2xy$ in the numerator and the denominator. $\newline$ $\frac{(2xy)(6x^{2}y^{2}+5xy^{2}-6xy+6y^{2})}{2xy} = 6x^{2}y^{2}+5xy^{2}-6xy+6y^{2}$
Simplify expression: We can now simplify the expression by combining like terms if there are any. However, in this case, there are no like terms to combine. $\newline$ So the final simplified form is $6x^{2}y^{2}+5xy^{2}-6xy+6y^{2}$ .