What is (-42x^{10}y^5+12x^8y^3-6x^2y)/(6x^2y) ?

The solution to (-42x^{10}y^5+12x^8y^3-6x^2y)/(6x^2y) is -7x^8y^4+2x^6y^2-1

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simplify (-42x^{10}y^5+12x^8y^3-6x^2y)/(6x^2y)

simplify

\frac{- 42 x ^{10} y ^{5} + 12 x ^{8} y ^{3} - 6 x ^{2} y}{6 x ^{2} y}

- 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1

Solution steps

\frac{- 42 x ^{10} y ^{5} + 12 x ^{8} y ^{3} - 6 x ^{2} y}{6 x ^{2} y}

Factor

- 42 x^{10} y^{5} + 12 x^{8} y^{3} - 6 x^{2} y : - 6 x^{2} y (7 x^{8} y^{4} - 2 x^{6} y^{2} + 1)

= \frac{- 6 x ^{2} y ( 7 x ^{8} y ^{4} - 2 x ^{6} y ^{2} + 1 )}{6 x ^{2} y}

Cancel the common factor:

6

= \frac{- x ^{2} y ( 7 x ^{8} y ^{4} - 2 x ^{6} y ^{2} + 1 )}{x ^{2} y}

Cancel the common factor:

x^{2}

= \frac{- y ( 7 x ^{8} y ^{4} - 2 x ^{6} y ^{2} + 1 )}{y}

Cancel the common factor:

y

= - (7 x^{8} y^{4} - 2 x^{6} y^{2} + 1)

Simplify

- (7 x^{8} y^{4} - 2 x^{6} y^{2} + 1) : - 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1

= - 7 x^{8} y^{4} + 2 x^{6} y^{2} - 1

\frac{x - 4}{9 x ^{2}} + \frac{x - 3}{6 x}

- 2 (x - 1)

c (4 + 3 c) - 0.75 (c + 3)

What is (-42x^{10}y^5+12x^8y^3-6x^2y)/(6x^2y) ?
The solution to (-42x^{10}y^5+12x^8y^3-6x^2y)/(6x^2y) is -7x^8y^4+2x^6y^2-1