Simplify (56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)

$\frac{56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$

Factor $7 x^{2} y^{3}$ out of $56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}$ .

Factor $7 x^{2} y^{3}$ out of $56 x^{4} y^{5}$ .

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2}) - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$

Factor $7 x^{2} y^{3}$ out of $- 49 x^{3} y^{6}$ .

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2}) + 7 x^{2} y^{3} (- 7 x y^{3}) - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$

Factor $7 x^{2} y^{3}$ out of $- 35 x^{2} y^{3}$ .

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2}) + 7 x^{2} y^{3} (- 7 x y^{3}) + 7 x^{2} y^{3} (- 5)}{7 x^{2} y^{2}}$

Factor $7 x^{2} y^{3}$ out of $7 x^{2} y^{3} (8 x^{2} y^{2}) + 7 x^{2} y^{3} (- 7 x y^{3})$ .

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3}) + 7 x^{2} y^{3} (- 5)}{7 x^{2} y^{2}}$

Factor $7 x^{2} y^{3}$ out of $7 x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3}) + 7 x^{2} y^{3} (- 5)$ .

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)}{7 x^{2} y^{2}}$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)}{7 x^{2} y^{2}}$

Rewrite the expression.

$\frac{x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)}{x^{2} y^{2}}$

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

Cancel the common factor.

$\frac{x^{2} y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)}{x^{2} y^{2}}$

Rewrite the expression.

$\frac{y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)}{y^{2}}$

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

Factor $y^{2}$ out of $y^{3} (8 x^{2} y^{2} - 7 x y^{3} - 5)$ .

$\frac{y^{2} (y (8 x^{2} y^{2} - 7 x y^{3} - 5))}{y^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{2} (y (8 x^{2} y^{2} - 7 x y^{3} - 5))}{y^{2} \cdot 1}$

Cancel the common factor.

$\frac{y^{2} (y (8 x^{2} y^{2} - 7 x y^{3} - 5))}{y^{2} \cdot 1}$

Rewrite the expression.

$\frac{y (8 x^{2} y^{2} - 7 x y^{3} - 5)}{1}$

Divide $y (8 x^{2} y^{2} - 7 x y^{3} - 5)$ by $1$ .

$y (8 x^{2} y^{2} - 7 x y^{3} - 5)$

Apply the distributive property.

$y (8 x^{2} y^{2}) + y (- 7 x y^{3}) + y \cdot - 5$

Simplify.

Rewrite using the commutative property of multiplication.

$8 y (x^{2} y^{2}) + y (- 7 x y^{3}) + y \cdot - 5$

Rewrite using the commutative property of multiplication.

$8 y (x^{2} y^{2}) - 7 y (x y^{3}) + y \cdot - 5$

Move $- 5$ to the left of $y$ .

$8 y (x^{2} y^{2}) - 7 y (x y^{3}) - 5 \cdot y$

Simplify each term.

Multiply $y$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$8 (y^{2} y) x^{2} - 7 y (x y^{3}) - 5 \cdot y$

Multiply $y^{2}$ by $y$ .

Raise $y$ to the power of $1$ .

$8 (y^{2} y^{1}) x^{2} - 7 y (x y^{3}) - 5 \cdot y$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 y^{2 + 1} x^{2} - 7 y (x y^{3}) - 5 \cdot y$

Add $2$ and $1$ .

$8 y^{3} x^{2} - 7 y (x y^{3}) - 5 \cdot y$

Multiply $y$ by $y^{3}$ by adding the exponents.

Move $y^{3}$ .

$8 y^{3} x^{2} - 7 (y^{3} y) x - 5 \cdot y$

Multiply $y^{3}$ by $y$ .

Raise $y$ to the power of $1$ .

$8 y^{3} x^{2} - 7 (y^{3} y^{1}) x - 5 \cdot y$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 y^{3} x^{2} - 7 y^{3 + 1} x - 5 \cdot y$

Add $3$ and $1$ .

$8 y^{3} x^{2} - 7 y^{4} x - 5 \cdot y$

$8 y^{3} x^{2} - 7 y^{4} x - 5 y$

Simplify (56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)

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