What is (30x^3y^5)/(12x^6y^7) ?

The solution to (30x^3y^5)/(12x^6y^7) is 5/(2x^3y^2)

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simplify (30x^3y^5)/(12x^6y^7)

simplify

\frac{30 x ^{3} y ^{5}}{12 x ^{6} y ^{7}}

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

Solution steps

\frac{30 x ^{3} y ^{5}}{12 x ^{6} y ^{7}}

Factor the number:

30 = 6 \cdot 5

= \frac{6 \cdot 5 x ^{3} y ^{5}}{12 x ^{6} y ^{7}}

Factor the number:

12 = 6 \cdot 2

= \frac{6 \cdot 5 x ^{3} y ^{5}}{6 \cdot 2 x ^{6} y ^{7}}

Cancel the common factor:

6

= \frac{5 x ^{3} y ^{5}}{2 x ^{6} y ^{7}}

Simplify

\frac{x ^{3}}{x ^{6}} : \frac{1}{x ^{3}}

= \frac{5 y ^{5}}{2 x ^{3} y ^{7}}

Simplify

\frac{y ^{5}}{y ^{7}} : \frac{1}{y ^{2}}

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

\frac{12}{x ^{2} + 2 x} < \frac{3}{x ^{2} + 4 x + 4}

4 (x^{2} + 5) = 3 x^{2} + 10 x - 4

- 3 - 49

3 x^{2} + 3 = 0

0 = x^{2} - 5 x - 24

What is (30x^3y^5)/(12x^6y^7) ?
The solution to (30x^3y^5)/(12x^6y^7) is 5/(2x^3y^2)