What is (42x^9y^5)/(7x^2y^3) ?

The solution to (42x^9y^5)/(7x^2y^3) is 6x^7y^2

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simplify (42x^9y^5)/(7x^2y^3)

simplify

\frac{42 x ^{9} y ^{5}}{7 x ^{2} y ^{3}}

6 x^{7} y^{2}

Solution steps

\frac{42 x ^{9} y ^{5}}{7 x ^{2} y ^{3}}

Factor the number:

42 = 7 \cdot 6

= \frac{7 \cdot 6 x ^{9} y ^{5}}{7 x ^{2} y ^{3}}

Cancel the common factor:

7

= \frac{6 x ^{9} y ^{5}}{x ^{2} y ^{3}}

Simplify

\frac{x ^{9}}{x ^{2}} : x^{7}

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

Simplify

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

= 6 x^{7} y^{2}

∣ - 2 ∣

x^{2} = 3 x + 2

4 x^{3} - 9 x y^{2} + 4 x^{2} y - 9 y^{3}

\frac{1}{3} - \frac{7}{24}

30 k^{3} + 6 k^{2}