Algebra Examples

$2 y^{2} - 5 y + 1 + (y^{2} - y - 4)$

Step 1

Remove parentheses.

$2 y^{2} - 5 y + 1 + y^{2} - y - 4$

Step 2

Add $2 y^{2}$ and $y^{2}$ .

$3 y^{2} - 5 y + 1 - y - 4$

Step 3

Subtract $y$ from $- 5 y$ .

$3 y^{2} - 6 y + 1 - 4$

Step 4

Subtract $4$ from $1$ .

$3 y^{2} - 6 y - 3$

Step 5

Factor $3$ out of $3 y^{2} - 6 y - 3$ .

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Step 5.1

Factor $3$ out of $3 y^{2}$ .

$3 (y^{2}) - 6 y - 3$

Step 5.2

Factor $3$ out of $- 6 y$ .

$3 (y^{2}) + 3 (- 2 y) - 3$

Step 5.3

Factor $3$ out of $- 3$ .

$3 (y^{2}) + 3 (- 2 y) + 3 (- 1)$

Step 5.4

Factor $3$ out of $3 (y^{2}) + 3 (- 2 y)$ .

$3 (y^{2} - 2 y) + 3 (- 1)$

Step 5.5

Factor $3$ out of $3 (y^{2} - 2 y) + 3 (- 1)$ .

$3 (y^{2} - 2 y - 1)$

$3 (y^{2} - 2 y - 1)$

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