What is ((-50x^4y^2-25x^3y+15x^2))/(5xy) ?

The solution to ((-50x^4y^2-25x^3y+15x^2))/(5xy) is -(x(10x^2y^2+5xy-3))/y

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simplify ((-50x^4y^2-25x^3y+15x^2))/(5xy)

simplify

\frac{( - 50 x ^{4} y ^{2} - 25 x ^{3} y + 15 x ^{2} )}{5 x y}

- \frac{x ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{y}

Solution steps

\frac{- 50 x ^{4} y ^{2} - 25 x ^{3} y + 15 x ^{2}}{5 x y}

Factor

- 50 x^{4} y^{2} - 25 x^{3} y + 15 x^{2} : - 5 x^{2} (10 x^{2} y^{2} + 5 x y - 3)

= \frac{- 5 x ^{2} ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{5 x y}

Cancel the common factor:

5

= \frac{- x ^{2} ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{x y}

Apply exponent rule:

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

x^{2} = xx

= \frac{- xx ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{x y}

Cancel the common factor:

x

= \frac{- x ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{y}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{x ( 10 x ^{2} y ^{2} + 5 x y - 3 )}{y}

1 \frac{4}{6}

e^{\frac{0}{2}}

\frac{18 a ^{4} y ^{2}}{9 a ^{2} y ^{4}}

\frac{2 ^{8} z ^{10}}{2 ^{6} z ^{3}}

\frac{20}{110}

What is ((-50x^4y^2-25x^3y+15x^2))/(5xy) ?
The solution to ((-50x^4y^2-25x^3y+15x^2))/(5xy) is -(x(10x^2y^2+5xy-3))/y