Basic Math Examples

$9 r^{2} - 72 r^{2} \div 2 r^{2} - 7 r - 72$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$9 r^{2} - \frac{72 r^{2}}{2 r^{2}} - 7 r - 72$

Step 1.2

Cancel the common factor of $72$ and $2$ .

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Step 1.2.1

Factor $2$ out of $72 r^{2}$ .

$9 r^{2} - \frac{2 (36 r^{2})}{2 r^{2}} - 7 r - 72$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $2 r^{2}$ .

$9 r^{2} - \frac{2 (36 r^{2})}{2 (r^{2})} - 7 r - 72$

Step 1.2.2.2

Cancel the common factor.

$9 r^{2} - \frac{2 (36 r^{2})}{2 r^{2}} - 7 r - 72$

Step 1.2.2.3

Rewrite the expression.

$9 r^{2} - \frac{36 r^{2}}{r^{2}} - 7 r - 72$

Step 1.3

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

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Step 1.3.1

Cancel the common factor.

$9 r^{2} - \frac{36 r^{2}}{r^{2}} - 7 r - 72$

Step 1.3.2

Divide $36$ by $1$ .

$9 r^{2} - 1 \cdot 36 - 7 r - 72$

Step 1.4

Multiply $- 1$ by $36$ .

$9 r^{2} - 36 - 7 r - 72$

Step 2

Subtract $72$ from $- 36$ .

$9 r^{2} - 7 r - 108$