Finite Math Examples

$\frac{6 x^{2} a + 12 x^{2} b - 6 x^{2} c}{36 x^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Factor $6 x^{2}$ out of $6 x^{2} a + 12 x^{2} b - 6 x^{2} c$ .

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Step 1.1.1

Factor $6 x^{2}$ out of $6 x^{2} a$ .

$\frac{6 x^{2} (a) + 12 x^{2} b - 6 x^{2} c}{36 x^{2}}$

Step 1.1.2

Factor $6 x^{2}$ out of $12 x^{2} b$ .

$\frac{6 x^{2} (a) + 6 x^{2} (2 b) - 6 x^{2} c}{36 x^{2}}$

Step 1.1.3

Factor $6 x^{2}$ out of $- 6 x^{2} c$ .

$\frac{6 x^{2} (a) + 6 x^{2} (2 b) + 6 x^{2} (- 1 c)}{36 x^{2}}$

Step 1.1.4

Factor $6 x^{2}$ out of $6 x^{2} (a) + 6 x^{2} (2 b)$ .

$\frac{6 x^{2} (a + 2 b) + 6 x^{2} (- 1 c)}{36 x^{2}}$

Step 1.1.5

Factor $6 x^{2}$ out of $6 x^{2} (a + 2 b) + 6 x^{2} (- 1 c)$ .

$\frac{6 x^{2} (a + 2 b - 1 c)}{36 x^{2}}$

Step 1.2

Rewrite $- 1 c$ as $- c$ .

$\frac{6 x^{2} (a + 2 b - c)}{36 x^{2}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $6$ and $36$ .

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Step 2.1.1

Factor $6$ out of $6 x^{2} (a + 2 b - c)$ .

$\frac{6 (x^{2} (a + 2 b - c))}{36 x^{2}}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $6$ out of $36 x^{2}$ .

$\frac{6 (x^{2} (a + 2 b - c))}{6 (6 x^{2})}$

Step 2.1.2.2

Cancel the common factor.

$\frac{6 (x^{2} (a + 2 b - c))}{6 (6 x^{2})}$

Step 2.1.2.3

Rewrite the expression.

$\frac{x^{2} (a + 2 b - c)}{6 x^{2}}$

Step 2.2

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

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Step 2.2.1

Cancel the common factor.

$\frac{x^{2} (a + 2 b - c)}{6 x^{2}}$

Step 2.2.2

Rewrite the expression.

$\frac{a + 2 b - c}{6}$