Algebra Examples

$\frac{65^{2} - 64^{2}}{23^{2} - 20^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $65$ to the power of $2$ .

$\frac{4225 - 64^{2}}{23^{2} - 20^{2}}$

Step 1.2

Raise $64$ to the power of $2$ .

$\frac{4225 - 1 \cdot 4096}{23^{2} - 20^{2}}$

Step 1.3

Multiply $- 1$ by $4096$ .

$\frac{4225 - 4096}{23^{2} - 20^{2}}$

Step 1.4

Subtract $4096$ from $4225$ .

$\frac{129}{23^{2} - 20^{2}}$

$\frac{129}{23^{2} - 20^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $23$ to the power of $2$ .

$\frac{129}{529 - 20^{2}}$

Step 2.2

Raise $20$ to the power of $2$ .

$\frac{129}{529 - 1 \cdot 400}$

Step 2.3

Multiply $- 1$ by $400$ .

$\frac{129}{529 - 400}$

Step 2.4

Subtract $400$ from $529$ .

$\frac{129}{129}$

$\frac{129}{129}$

Step 3

Divide $129$ by $129$ .

$1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$