What is (12x^3y^2-18x^2y^3)/(6x^2y^2) ?

The solution to (12x^3y^2-18x^2y^3)/(6x^2y^2) is 2x-3y

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simplify (12x^3y^2-18x^2y^3)/(6x^2y^2)

simplify

\frac{12 x ^{3} y ^{2} - 18 x ^{2} y ^{3}}{6 x ^{2} y ^{2}}

2 x - 3 y

Solution steps

\frac{12 x ^{3} y ^{2} - 18 x ^{2} y ^{3}}{6 x ^{2} y ^{2}}

Factor

12 x^{3} y^{2} - 18 x^{2} y^{3} : 6 x^{2} y^{2} (2 x - 3 y)

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

Cancel the common factor:

6

= \frac{x ^{2} y ^{2} ( 2 x - 3 y )}{x ^{2} y ^{2}}

Cancel the common factor:

x^{2}

= \frac{y ^{2} ( 2 x - 3 y )}{y ^{2}}

Cancel the common factor:

y^{2}

= 2 x - 3 y

x^{3} - 2 x^{2} + 2 x

3 (x + 2) - 5 x = 0

x^{2} \leq ∣ 5 - 6 x ∣

2 k^{2} + 7 k - 9

2 x - \frac{5}{3} > \frac{x}{3} + 10

What is (12x^3y^2-18x^2y^3)/(6x^2y^2) ?
The solution to (12x^3y^2-18x^2y^3)/(6x^2y^2) is 2x-3y