Algebra Examples

$\frac{16 x^{2} - 56 x + 60 x^{2}}{- 14 + 19 x}$

Step 1

Simplify the numerator.

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Step 1.1

Add $16 x^{2}$ and $60 x^{2}$ .

$\frac{76 x^{2} - 56 x}{- 14 + 19 x}$

Step 1.2

Factor $4 x$ out of $76 x^{2} - 56 x$ .

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Step 1.2.1

Factor $4 x$ out of $76 x^{2}$ .

$\frac{4 x (19 x) - 56 x}{- 14 + 19 x}$

Step 1.2.2

Factor $4 x$ out of $- 56 x$ .

$\frac{4 x (19 x) + 4 x (- 14)}{- 14 + 19 x}$

Step 1.2.3

Factor $4 x$ out of $4 x (19 x) + 4 x (- 14)$ .

$\frac{4 x (19 x - 14)}{- 14 + 19 x}$

$\frac{4 x (19 x - 14)}{- 14 + 19 x}$

$\frac{4 x (19 x - 14)}{- 14 + 19 x}$

Step 2

Cancel the common factor of $19 x - 14$ and $- 14 + 19 x$ .

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Step 2.1

Reorder terms.

$\frac{4 x (19 x - 14)}{19 x - 14}$

Step 2.2

Cancel the common factor.

$\frac{4 x (19 x - 14)}{19 x - 14}$

Step 2.3

Divide $4 x$ by $1$ .

$4 x$

$4 x$

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