Pre-Algebra Examples

$3 x^{2} - 5 x + 4$ , $- 7 x^{2} + 4 x - 3$ , $3 x^{2} - 5 x + 4$ , $- 7 x^{2} + 4 x - 3$

Step 1

Subtract $7 x^{2}$ from $3 x^{2}$ .

$- 4 x^{2} - 5 x + 4 + 4 x - 3 + 3 x^{2} - 5 x + 4 - 7 x^{2} + 4 x - 3$

Step 2

Add $- 4 x^{2}$ and $3 x^{2}$ .

$- x^{2} - 5 x + 4 + 4 x - 3 - 5 x + 4 - 7 x^{2} + 4 x - 3$

Step 3

Subtract $7 x^{2}$ from $- x^{2}$ .

$- 8 x^{2} - 5 x + 4 + 4 x - 3 - 5 x + 4 + 4 x - 3$

Step 4

Add $- 5 x$ and $4 x$ .

$- 8 x^{2} - x + 4 - 3 - 5 x + 4 + 4 x - 3$

Step 5

Subtract $5 x$ from $- x$ .

$- 8 x^{2} - 6 x + 4 - 3 + 4 + 4 x - 3$

Step 6

Add $- 6 x$ and $4 x$ .

$- 8 x^{2} - 2 x + 4 - 3 + 4 - 3$

Step 7

Subtract $3$ from $4$ .

$- 8 x^{2} - 2 x + 1 + 4 - 3$

Step 8

Add $1$ and $4$ .

$- 8 x^{2} - 2 x + 5 - 3$

Step 9

Subtract $3$ from $5$ .

$- 8 x^{2} - 2 x + 2$

Step 10

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

Tap for more steps...

Step 10.1

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

$2 (- 4 x^{2}) - 2 x + 2$

Step 10.2

Factor $2$ out of $- 2 x$ .

$2 (- 4 x^{2}) + 2 (- x) + 2$

Step 10.3

Factor $2$ out of $2$ .

$2 (- 4 x^{2}) + 2 (- x) + 2 (1)$

Step 10.4

Factor $2$ out of $2 (- 4 x^{2}) + 2 (- x)$ .

$2 (- 4 x^{2} - x) + 2 (1)$

Step 10.5

Factor $2$ out of $2 (- 4 x^{2} - x) + 2 (1)$ .

$2 (- 4 x^{2} - x + 1)$

Step 11

The greatest common factor $GCF$ is the term in front of the factored expression.

$2$