What is ((-35x^2y+14x^5y^6))/((7xy^2)) ?

The solution to ((-35x^2y+14x^5y^6))/((7xy^2)) is (x(-5+2x^3y^5))/y

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simplify ((-35x^2y+14x^5y^6))/((7xy^2))

simplify

\frac{( - 35 x ^{2} y + 14 x ^{5} y ^{6} )}{( 7 x y ^{2} )}

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

Solution steps

\frac{- 35 x ^{2} y + 14 x ^{5} y ^{6}}{7 x y ^{2}}

Factor

- 35 x^{2} y + 14 x^{5} y^{6} : 7 x^{2} y (- 5 + 2 x^{3} y^{5})

= \frac{7 x ^{2} y ( - 5 + 2 x ^{3} y ^{5} )}{7 x y ^{2}}

Cancel the common factor:

7

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

Apply exponent rule:

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

y^{2} = yy

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

Cancel the common factor:

y

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

6 x^{3} - 7 x^{2} - 29 x - 12

\frac{( x ^{3} + y ^{3} )}{( x - y )}

- 3 \frac{1}{2}

\frac{x + \frac{x}{2}}{x - \frac{x}{4}}

\frac{6}{45}

What is ((-35x^2y+14x^5y^6))/((7xy^2)) ?
The solution to ((-35x^2y+14x^5y^6))/((7xy^2)) is (x(-5+2x^3y^5))/y