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

The solution to ((4x^3y-6x^4y^6-2x^2y))/(-2x^2y) is -2x+3x^2y^5+1

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

simplify

\frac{( 4 x ^{3} y - 6 x ^{4} y ^{6} - 2 x ^{2} y )}{- 2 x ^{2} y}

- 2 x + 3 x^{2} y^{5} + 1

Solution steps

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

Factor

4 x^{3} y - 6 x^{4} y^{6} - 2 x^{2} y : 2 x^{2} y (2 x - 3 x^{2} y^{5} - 1)

= \frac{2 x ^{2} y ( 2 x - 3 x ^{2} y ^{5} - 1 )}{- 2 x ^{2} y}

Cancel the common factor:

2

= \frac{x ^{2} y ( 2 x - 3 x ^{2} y ^{5} - 1 )}{- x ^{2} y}

Cancel the common factor:

x^{2}

= \frac{y ( 2 x - 3 x ^{2} y ^{5} - 1 )}{- y}

Cancel the common factor:

y

= \frac{2 x - 3 x ^{2} y ^{5} - 1}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (2 x - 3 x^{2} y^{5} - 1)

Simplify

- (2 x - 3 x^{2} y^{5} - 1) : - 2 x + 3 x^{2} y^{5} + 1

= - 2 x + 3 x^{2} y^{5} + 1

lo g_{2} (\frac{1}{64}) = x

- 2 (\frac{2}{5})^{0}

(x + 7)^{2} = - 64

\frac{4 n - 4}{6 n - 20}

x^{2} = 11 x - 10

What is ((4x^3y-6x^4y^6-2x^2y))/(-2x^2y) ?
The solution to ((4x^3y-6x^4y^6-2x^2y))/(-2x^2y) is -2x+3x^2y^5+1