Evaluate 36/(13^2-11^2)

$\frac{36}{13^{2} - 11^{2}}$

Simplify the denominator.

Raise $13$ to the power of $2$ .

$\frac{36}{169 - 11^{2}}$

Raise $11$ to the power of $2$ .

$\frac{36}{169 - 1 \cdot 121}$

Multiply $- 1$ by $121$ .

$\frac{36}{169 - 121}$

Subtract $121$ from $169$ .

$\frac{36}{48}$

$\frac{36}{48}$

Cancel the common factor of $36$ and $48$ .

Factor $12$ out of $36$ .

$\frac{12 (3)}{48}$

Cancel the common factors.

Factor $12$ out of $48$ .

$\frac{12 \cdot 3}{12 \cdot 4}$

Cancel the common factor.

$\frac{12 \cdot 3}{12 \cdot 4}$

Rewrite the expression.

$\frac{3}{4}$

$\frac{3}{4}$

$\frac{3}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$

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