What is (6x^3y^2-24x^4y^4+3x^4y^6)/(3xy^2) ?

The solution to (6x^3y^2-24x^4y^4+3x^4y^6)/(3xy^2) is x^2(2-8xy^2+xy^4)

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simplify (6x^3y^2-24x^4y^4+3x^4y^6)/(3xy^2)

simplify

\frac{6 x ^{3} y ^{2} - 24 x ^{4} y ^{4} + 3 x ^{4} y ^{6}}{3 x y ^{2}}

x^{2} (2 - 8 x y^{2} + x y^{4})

Solution steps

\frac{6 x ^{3} y ^{2} - 24 x ^{4} y ^{4} + 3 x ^{4} y ^{6}}{3 x y ^{2}}

Factor

6 x^{3} y^{2} - 24 x^{4} y^{4} + 3 x^{4} y^{6} : 3 x^{3} y^{2} (2 - 8 x y^{2} + x y^{4})

= \frac{3 x ^{3} y ^{2} ( 2 - 8 x y ^{2} + x y ^{4} )}{3 x y ^{2}}

Cancel the common factor:

3

= \frac{x ^{3} y ^{2} ( 2 - 8 x y ^{2} + x y ^{4} )}{x y ^{2}}

Cancel the common factor:

y^{2}

= \frac{x ^{3} ( 2 - 8 x y ^{2} + x y ^{4} )}{x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x x^{2}

= \frac{x x ^{2} ( 2 - 8 x y ^{2} + x y ^{4} )}{x}

Cancel the common factor:

x

= x^{2} (2 - 8 x y^{2} + x y^{4})

475 - 348 - 227

\frac{a + 5 b}{a ^{2}} - \frac{b - 3}{ab}

(\frac{5 - 14 i}{2 - 10 i})^{2} + (2 + 3 i)^{2}

\frac{3 7 - 5}{7 - 2}

(\frac{1}{3})^{- (\frac{1}{3})^{- 1}}

What is (6x^3y^2-24x^4y^4+3x^4y^6)/(3xy^2) ?
The solution to (6x^3y^2-24x^4y^4+3x^4y^6)/(3xy^2) is x^2(2-8xy^2+xy^4)