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

The solution to ((4x*y^2+2x^2*y^2-2x*y^3))/((2x^2*y^2)) is (2+x-y)/x

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simplify ((4xy^2+2x^2y^2-2xy^3))/((2x^2y^2))

simplify

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

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

Solution steps

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

Factor

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

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

Cancel the common factor:

2

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

Cancel the common factor:

y^{2}

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

= \frac{2 + x - y}{x}

\frac{( 8 )}{( 3 x )}

9 u^{2} v^{4} - u^{2} v^{2}

(- 1 + i) \cdot (- i^{k})

2 x^{2} + \frac{( 5 x )}{2} + \frac{1}{2}

3 m^{2} n^{3} + 5 m^{4} n

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