What is (-20ax^3y^2)/(24axy^4) ?

The solution to (-20ax^3y^2)/(24axy^4) is -(5x^2)/(6y^2)

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simplify (-20ax^3y^2)/(24axy^4)

simplify

\frac{- 20 a x ^{3} y ^{2}}{24 a x y ^{4}}

- \frac{5 x ^{2}}{6 y ^{2}}

Solution steps

\frac{- 20 a x ^{3} y ^{2}}{24 a x y ^{4}}

Cancel the common factor:

a

= \frac{- 20 x ^{3} y ^{2}}{24 x y ^{4}}

Factor the number:

20 = 4 \cdot 5

= \frac{- 4 \cdot 5 x ^{3} y ^{2}}{24 x y ^{4}}

Factor the number:

24 = 4 \cdot 6

= \frac{- 4 \cdot 5 x ^{3} y ^{2}}{4 \cdot 6 x y ^{4}}

Cancel the common factor:

4

= \frac{- 5 x ^{3} y ^{2}}{6 x y ^{4}}

Simplify

\frac{x ^{3}}{x} : x^{2}

= \frac{- 5 x ^{2} y ^{2}}{6 y ^{4}}

Simplify

\frac{y ^{2}}{y ^{4}} : \frac{1}{y ^{2}}

= \frac{- 5 x ^{2}}{6 y ^{2}}

Apply the fraction rule:

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

= - \frac{5 x ^{2}}{6 y ^{2}}

4 x^{2} + 4 x + 2

x^{2} + 10 x + 14 = 0

(1 + i) (8 - 7 i)

- x^{2} - 7 x + 3 = 0

4 (- 7)

What is (-20ax^3y^2)/(24axy^4) ?
The solution to (-20ax^3y^2)/(24axy^4) is -(5x^2)/(6y^2)