What is (21x^3y)/(14x^2y^2) ?

The solution to (21x^3y)/(14x^2y^2) is (3x)/(2y)

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simplify (21x^3y)/(14x^2y^2)

simplify

\frac{21 x ^{3} y}{14 x ^{2} y ^{2}}

\frac{3 x}{2 y}

Solution steps

\frac{21 x ^{3} y}{14 x ^{2} y ^{2}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 3 x ^{3} y}{14 x ^{2} y ^{2}}

Factor the number:

14 = 7 \cdot 2

= \frac{7 \cdot 3 x ^{3} y}{7 \cdot 2 x ^{2} y ^{2}}

Cancel the common factor:

7

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

Simplify

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

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

Simplify

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

= \frac{3 x}{2 y}

5 x^{2} - 55 x + 150 = 0

4 x^{2} + 22 x + 10

x^{2} - 2 + x^{2} + 5 x - 9 + (- 8 x - 42) + x = 360

\frac{2}{5} + \frac{3}{4} \cdot \frac{1}{5} + 3 - \frac{7}{4}

22 = 1.5 + \frac{1 1 ^{2} + y ^{2}}{- 19.6}