Algebra Examples

$\frac{2 a^{2}}{4 a^{2} - 4 a b}$

Step 1

Simplify the denominator.

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Step 1.1

Factor $4 a$ out of $4 a^{2} - 4 a b$ .

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Step 1.1.1

Factor $4 a$ out of $4 a^{2}$ .

$\frac{2 a^{2}}{4 a (a) - 4 a b}$

Step 1.1.2

Factor $4 a$ out of $- 4 a b$ .

$\frac{2 a^{2}}{4 a (a) + 4 a (- 1 b)}$

Step 1.1.3

Factor $4 a$ out of $4 a (a) + 4 a (- 1 b)$ .

$\frac{2 a^{2}}{4 a (a - 1 b)}$

$\frac{2 a^{2}}{4 a (a - 1 b)}$

Step 1.2

Rewrite $- 1 b$ as $- b$ .

$\frac{2 a^{2}}{4 a (a - b)}$

$\frac{2 a^{2}}{4 a (a - b)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $2$ and $4$ .

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Step 2.1.1

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

$\frac{2 (a^{2})}{4 a (a - b)}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $4 a (a - b)$ .

$\frac{2 (a^{2})}{2 (2 a (a - b))}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 a^{2}}{2 (2 a (a - b))}$

Step 2.1.2.3

Rewrite the expression.

$\frac{a^{2}}{2 a (a - b)}$

$\frac{a^{2}}{2 a (a - b)}$

$\frac{a^{2}}{2 a (a - b)}$

Step 2.2

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

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Step 2.2.1

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

$\frac{a \cdot a}{2 a (a - b)}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $a$ out of $2 a (a - b)$ .

$\frac{a \cdot a}{a (2 (a - b))}$

Step 2.2.2.2

Cancel the common factor.

$\frac{a \cdot a}{a (2 (a - b))}$

Step 2.2.2.3

Rewrite the expression.

$\frac{a}{2 (a - b)}$

$\frac{a}{2 (a - b)}$

$\frac{a}{2 (a - b)}$

$\frac{a}{2 (a - b)}$

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