Basic Math Examples

$\frac{(w + 2) (w + 2)}{8} \cdot \frac{72}{(w + 2) (w - 2)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $w + 2$ to the power of $1$ .

$\frac{{(w + 2)}^{1} (w + 2)}{8} \cdot \frac{72}{(w + 2) (w - 2)}$

Step 1.2

Raise $w + 2$ to the power of $1$ .

$\frac{{(w + 2)}^{1} {(w + 2)}^{1}}{8} \cdot \frac{72}{(w + 2) (w - 2)}$

Step 1.3

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

$\frac{{(w + 2)}^{1 + 1}}{8} \cdot \frac{72}{(w + 2) (w - 2)}$

Step 1.4

Add $1$ and $1$ .

$\frac{{(w + 2)}^{2}}{8} \cdot \frac{72}{(w + 2) (w - 2)}$

Step 2

Simplify terms.

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Step 2.1

Combine.

$\frac{{(w + 2)}^{2} \cdot 72}{8 ((w + 2) (w - 2))}$

Step 2.2

Cancel the common factor of ${(w + 2)}^{2}$ and $w + 2$ .

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Step 2.2.1

Factor $w + 2$ out of ${(w + 2)}^{2} \cdot 72$ .

$\frac{(w + 2) ((w + 2) \cdot 72)}{8 ((w + 2) (w - 2))}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $w + 2$ out of $8 ((w + 2) (w - 2))$ .

$\frac{(w + 2) ((w + 2) \cdot 72)}{(w + 2) (8 (w - 2))}$

Step 2.2.2.2

Cancel the common factor.

$\frac{(w + 2) ((w + 2) \cdot 72)}{(w + 2) (8 (w - 2))}$

Step 2.2.2.3

Rewrite the expression.

$\frac{(w + 2) \cdot 72}{8 (w - 2)}$

Step 2.3

Cancel the common factor of $72$ and $8$ .

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Step 2.3.1

Factor $8$ out of $(w + 2) \cdot 72$ .

$\frac{8 ((w + 2) \cdot 9)}{8 (w - 2)}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Cancel the common factor.

$\frac{8 ((w + 2) \cdot 9)}{8 (w - 2)}$

Step 2.3.2.2

Rewrite the expression.

$\frac{(w + 2) \cdot 9}{w - 2}$

Step 2.4

Move $9$ to the left of $w + 2$ .

$\frac{9 (w + 2)}{w - 2}$