What is (-9y^2)/(5x)*(-10x^2)/(3y) ?

The solution to (-9y^2)/(5x)*(-10x^2)/(3y) is 6yx

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simplify (-9y^2)/(5x)*(-10x^2)/(3y)

simplify

\frac{- 9 y ^{2}}{5 x} \cdot \frac{- 10 x ^{2}}{3 y}

6 y x

Solution steps

\frac{- 9 y ^{2}}{5 x} \cdot \frac{- 10 x ^{2}}{3 y}

Apply the fraction rule:

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

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

= - \frac{9 y ^{2}}{5 x} \cdot \frac{- 10 x ^{2}}{3 y}

Apply the fraction rule:

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

\frac{- 10 x ^{2}}{3 y} = - \frac{10 x ^{2}}{3 y}

= - \frac{9 y ^{2}}{5 x} (- \frac{10 x ^{2}}{3 y})

Apply rule:

- a (- b) = ab

- \frac{9 y ^{2}}{5 x} (- \frac{10 x ^{2}}{3 y}) = \frac{9 y ^{2}}{5 x} \cdot \frac{10 x ^{2}}{3 y}

= \frac{9 y ^{2}}{5 x} \cdot \frac{10 x ^{2}}{3 y}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{9 y ^{2} \cdot 10 x ^{2}}{5 x \cdot 3 y}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 3 y ^{2} \cdot 10 x ^{2}}{5 x \cdot 3 y}

Cancel the common factor:

3

= \frac{3 y ^{2} \cdot 10 x ^{2}}{5 x y}

Factor the number:

10 = 5 \cdot 2

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

Cancel the common factor:

5

= \frac{3 y ^{2} \cdot 2 x ^{2}}{x y}

Simplify

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

= \frac{3 y \cdot 2 x ^{2}}{x}

Simplify

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

= 3 y \cdot 2 x

Multiply the numbers:

3 \cdot 2 = 6

= 6 y x

x^{2} + x + \frac{1}{4} = 0

x^{3} - 9 x^{2} + 108

20 x^{2} - 7 x - 6 = 0

4 x^{8} - 61 x^{4} + 225

∣ x - 1 ∣ < - 4

What is (-9y^2)/(5x)*(-10x^2)/(3y) ?
The solution to (-9y^2)/(5x)*(-10x^2)/(3y) is 6yx