Pre-Algebra Examples

$(56 a^{3} b^{2} - 21 a^{2} b - 14 a b^{2}) \div 7 a b$

Step 1

Rewrite the division as a fraction.

$\frac{56 a^{3} b^{2} - 21 a^{2} b - 14 a b^{2}}{7 a b}$

Step 2

Factor $7 a b$ out of $56 a^{3} b^{2} - 21 a^{2} b - 14 a b^{2}$ .

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Step 2.1

Factor $7 a b$ out of $56 a^{3} b^{2}$ .

$\frac{7 a b (8 a^{2} b) - 21 a^{2} b - 14 a b^{2}}{7 a b}$

Step 2.2

Factor $7 a b$ out of $- 21 a^{2} b$ .

$\frac{7 a b (8 a^{2} b) + 7 a b (- 3 a) - 14 a b^{2}}{7 a b}$

Step 2.3

Factor $7 a b$ out of $- 14 a b^{2}$ .

$\frac{7 a b (8 a^{2} b) + 7 a b (- 3 a) + 7 a b (- 2 b)}{7 a b}$

Step 2.4

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

$\frac{7 a b (8 a^{2} b - 3 a) + 7 a b (- 2 b)}{7 a b}$

Step 2.5

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

$\frac{7 a b (8 a^{2} b - 3 a - 2 b)}{7 a b}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 a b (8 a^{2} b - 3 a - 2 b)}{7 a b}$

Step 3.2

Rewrite the expression.

$\frac{a b (8 a^{2} b - 3 a - 2 b)}{a b}$

Step 4

Cancel the common factor of $a$ .

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Step 4.1

Cancel the common factor.

$\frac{a b (8 a^{2} b - 3 a - 2 b)}{a b}$

Step 4.2

Rewrite the expression.

$\frac{b (8 a^{2} b - 3 a - 2 b)}{b}$

Step 5

Cancel the common factor of $b$ .

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Step 5.1

Cancel the common factor.

$\frac{b (8 a^{2} b - 3 a - 2 b)}{b}$

Step 5.2

Divide $8 a^{2} b - 3 a - 2 b$ by $1$ .

$8 a^{2} b - 3 a - 2 b$