Basic Math Examples

$24 a^{4} b^{3} + 28 a^{3} b^{2} - 20 a^{2} b \div 2 a^{2} b$

Step 1

Rewrite the division as a fraction.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{20 a^{2} b}{2 a^{2} b}$

Step 2

Cancel the common factor of $20$ and $2$ .

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Step 2.1

Factor $2$ out of $20 a^{2} b$ .

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{2 (10 a^{2} b)}{2 a^{2} b}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{2 (10 a^{2} b)}{2 (a^{2} b)}$

Step 2.2.2

Cancel the common factor.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{2 (10 a^{2} b)}{2 (a^{2} b)}$

Step 2.2.3

Rewrite the expression.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{10 a^{2} b}{a^{2} b}$

Step 3

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

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Step 3.1

Cancel the common factor.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{10 a^{2} b}{a^{2} b}$

Step 3.2

Rewrite the expression.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{10 b}{b}$

Step 4

Cancel the common factor of $b$ .

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Step 4.1

Cancel the common factor.

$24 a^{4} b^{3} + 28 a^{3} b^{2} - \frac{10 b}{b}$

Step 4.2

Divide $10$ by $1$ .

$24 a^{4} b^{3} + 28 a^{3} b^{2} - 1 \cdot 10$

Step 5

Multiply $- 1$ by $10$ .

$24 a^{4} b^{3} + 28 a^{3} b^{2} - 10$