Basic Math Examples

$(3 a b^{2} - 5 a^{2} b + 7 a^{2} b^{2}) \div a^{2} b^{2}$

Step 1

Factor $a b$ out of $3 a b^{2} - 5 a^{2} b + 7 a^{2} b^{2}$ .

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Step 1.1

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

$(a b (3 b) - 5 a^{2} b + 7 a^{2} b^{2}) \div a^{2} b^{2}$

Step 1.2

Factor $a b$ out of $- 5 a^{2} b$ .

$(a b (3 b) + a b (- 5 a) + 7 a^{2} b^{2}) \div a^{2} b^{2}$

Step 1.3

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

$(a b (3 b) + a b (- 5 a) + a b (7 a b)) \div a^{2} b^{2}$

Step 1.4

Factor $a b$ out of $a b (3 b) + a b (- 5 a)$ .

$(a b (3 b - 5 a) + a b (7 a b)) \div a^{2} b^{2}$

Step 1.5

Factor $a b$ out of $a b (3 b - 5 a) + a b (7 a b)$ .

$a b (3 b - 5 a + 7 a b) \div a^{2} b^{2}$

Step 2

Reduce the expression $a b (3 b - 5 a + 7 a b) \div a^{2} b^{2}$ by cancelling the common factors.

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Step 2.1

Factor $a$ out of $a b (3 b - 5 a + 7 a b)$ .

$a (b (3 b - 5 a + 7 a b)) \div a^{2} b^{2}$

Step 2.2

Factor $a$ out of $a^{2} b^{2}$ .

$a (b (3 b - 5 a + 7 a b)) \div a (a b^{2})$

Step 2.3

Cancel the common factor.

$a (b (3 b - 5 a + 7 a b)) \div a (a b^{2})$

Step 2.4

Rewrite the expression.

$\frac{b (3 b - 5 a + 7 a b)}{a b^{2}}$

Step 3

Reduce the expression $\frac{b (3 b - 5 a + 7 a b)}{a b^{2}}$ by cancelling the common factors.

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Step 3.1

Factor $b$ out of $a b^{2}$ .

$\frac{b (3 b - 5 a + 7 a b)}{b (a b)}$

Step 3.2

Cancel the common factor.

$\frac{b (3 b - 5 a + 7 a b)}{b (a b)}$

Step 3.3

Rewrite the expression.

$\frac{3 b - 5 a + 7 a b}{a b}$