What is ((6x^3*y-12x^2*y^2+7xy))/((-3xy)) ?

The solution to ((6x^3*y-12x^2*y^2+7xy))/((-3xy)) is -(6x^2-12xy+7)/3

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simplify ((6x^3y-12x^2y^2+7xy))/((-3xy))

simplify

\frac{( 6 x ^{3} \cdot y - 12 x ^{2} \cdot y ^{2} + 7 x y )}{( - 3 x y )}

- \frac{6 x ^{2} - 12 x y + 7}{3}

Solution steps

\frac{6 x ^{3} y - 12 x ^{2} y ^{2} + 7 x y}{- 3 x y}

Factor

6 x^{3} y - 12 x^{2} y^{2} + 7 x y : x y (6 x^{2} - 12 x y + 7)

= \frac{x y ( 6 x ^{2} - 12 x y + 7 )}{- 3 x y}

Cancel the common factor:

x

= \frac{y ( 6 x ^{2} - 12 x y + 7 )}{- 3 y}

Cancel the common factor:

y

= \frac{6 x ^{2} - 12 x y + 7}{- 3}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{6 x ^{2} - 12 x y + 7}{3}

f (- 5) \cdot g (2)

15 + (- 12) y + 24

(2 a^{5})^{- 3}

(x^{2} + 1 + y) (x^{2} + 1 - y)

81 a^{2} - 36 b^{2}

What is ((6x^3*y-12x^2*y^2+7xy))/((-3xy)) ?
The solution to ((6x^3*y-12x^2*y^2+7xy))/((-3xy)) is -(6x^2-12xy+7)/3