What is (18x^2y+x^2y-45x^3y^5)/(9xy) ?

The solution to (18x^2y+x^2y-45x^3y^5)/(9xy) is (x(19-45xy^4))/9

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simplify (18x^2y+x^2y-45x^3y^5)/(9xy)

simplify

\frac{18 x ^{2} y + x ^{2} y - 45 x ^{3} y ^{5}}{9 x y}

\frac{x ( 19 - 45 x y ^{4} )}{9}

Solution steps

\frac{18 x ^{2} y + x ^{2} y - 45 x ^{3} y ^{5}}{9 x y}

Add similar elements:

18 x^{2} y + x^{2} y = 19 x^{2} y

= \frac{19 x ^{2} y - 45 x ^{3} y ^{5}}{9 x y}

Factor

19 x^{2} y - 45 x^{3} y^{5} : x^{2} y (19 - 45 x y^{4})

= \frac{x ^{2} y ( 19 - 45 x y ^{4} )}{9 x y}

Cancel the common factor:

y

= \frac{x ^{2} ( 19 - 45 x y ^{4} )}{9 x}

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( 19 - 45 x y ^{4} )}{9 x}

Cancel the common factor:

x

= \frac{x ( 19 - 45 x y ^{4} )}{9}

(- 3 x - 1) (3 x^{2} - 9 x + 4)

\frac{\frac{4 m - 2 n}{8}}{\frac{2 m - n}{12}}

\frac{- x}{- 1}

(2 + x)^{5}

\frac{15 x ^{3} - 12 x ^{2} + 6 x}{3 x}

What is (18x^2y+x^2y-45x^3y^5)/(9xy) ?
The solution to (18x^2y+x^2y-45x^3y^5)/(9xy) is (x(19-45xy^4))/9