Divide (15x^3y^4)÷5x^2y^2

$15 x^{3} y^{4} \div 5 x^{2} y^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{15 x^{3} y^{4}}{5 x^{2} y^{2}}$

Step 2

Cancel the common factor of $15$ and $5$ .

Factor $5$ out of $15 x^{3} y^{4}$ .

$\frac{5 (3 x^{3} y^{4})}{5 x^{2} y^{2}}$

Cancel the common factors.

Factor $5$ out of $5 x^{2} y^{2}$ .

$\frac{5 (3 x^{3} y^{4})}{5 (x^{2} y^{2})}$

Cancel the common factor.

$\frac{5 (3 x^{3} y^{4})}{5 (x^{2} y^{2})}$

Rewrite the expression.

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $3 x^{3} y^{4}$ .

$\frac{x^{2} (3 x y^{4})}{x^{2} y^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $x^{2} y^{2}$ .

$\frac{x^{2} (3 x y^{4})}{x^{2} (y^{2})}$

Cancel the common factor.

$\frac{x^{2} (3 x y^{4})}{x^{2} y^{2}}$

Rewrite the expression.

$\frac{3 x y^{4}}{y^{2}}$

$\frac{3 x y^{4}}{y^{2}}$

$\frac{3 x y^{4}}{y^{2}}$

Step 4

Cancel the common factor of $y^{4}$ and $y^{2}$ .

Factor $y^{2}$ out of $3 x y^{4}$ .

$\frac{y^{2} (3 x y^{2})}{y^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{2} (3 x y^{2})}{y^{2} \cdot 1}$

Cancel the common factor.

$\frac{y^{2} (3 x y^{2})}{y^{2} \cdot 1}$

Rewrite the expression.

$\frac{3 x y^{2}}{1}$

Divide $3 x y^{2}$ by $1$ .

$3 x y^{2}$

$3 x y^{2}$

$3 x y^{2}$

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