Algebra Examples

$\frac{5 x - 3}{7 x + 1} + \frac{8 x^{2} + 3}{7 x + 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 x - 3 + 8 x^{2} + 3}{7 x + 1}$

Step 2

Combine the opposite terms in $5 x - 3 + 8 x^{2} + 3$ .

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Step 2.1

Add $- 3$ and $3$ .

$\frac{5 x + 8 x^{2} + 0}{7 x + 1}$

Step 2.2

Add $5 x + 8 x^{2}$ and $0$ .

$\frac{5 x + 8 x^{2}}{7 x + 1}$

Step 3

Factor $x$ out of $5 x + 8 x^{2}$ .

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Step 3.1

Factor $x$ out of $5 x$ .

$\frac{x \cdot 5 + 8 x^{2}}{7 x + 1}$

Step 3.2

Factor $x$ out of $8 x^{2}$ .

$\frac{x \cdot 5 + x (8 x)}{7 x + 1}$

Step 3.3

Factor $x$ out of $x \cdot 5 + x (8 x)$ .

$\frac{x (5 + 8 x)}{7 x + 1}$