Algebra Examples

$\frac{1}{4} x^{2} - \frac{3}{5} x + \frac{4}{25}$

Step 1

Combine $\frac{1}{4}$ and $x^{2}$ .

$\frac{x^{2}}{4} - \frac{3}{5} x + \frac{4}{25}$

Step 2

Combine $x$ and $\frac{3}{5}$ .

$\frac{x^{2}}{4} - \frac{x \cdot 3}{5} + \frac{4}{25}$

Step 3

Move $3$ to the left of $x$ .

$\frac{x^{2}}{4} - \frac{3 \cdot x}{5} + \frac{4}{25}$

Step 4

Multiply $3$ by $x$ .

$\frac{x^{2}}{4} - \frac{3 x}{5} + \frac{4}{25}$

Step 5

Factor $\frac{1}{100}$ out of each term.

$\frac{1}{100} (25 x^{2} - 60 x + 16)$