Pre-Algebra Examples

$9 x + 3 y + 5$ , $- x - y + 4$ , $- 5 x + 4 y - 9$

Step 1

Subtract $x$ from $9 x$ .

$8 x + 3 y + 5 - y + 4 - 5 x + 4 y - 9$

Step 2

Subtract $5 x$ from $8 x$ .

$3 x + 3 y + 5 - y + 4 + 4 y - 9$

Step 3

Subtract $y$ from $3 y$ .

$3 x + 2 y + 5 + 4 + 4 y - 9$

Step 4

Add $2 y$ and $4 y$ .

$3 x + 6 y + 5 + 4 - 9$

Step 5

Add $5$ and $4$ .

$3 x + 6 y + 9 - 9$

Step 6

Subtract $9$ from $9$ .

$3 x + 6 y + 0$

Step 7

Add $3 x + 6 y$ and $0$ .

$3 x + 6 y$

Step 8

Factor $3$ out of $3 x + 6 y$ .

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Step 8.1

Factor $3$ out of $3 x$ .

$3 (x) + 6 y$

Step 8.2

Factor $3$ out of $6 y$ .

$3 (x) + 3 (2 y)$

Step 8.3

Factor $3$ out of $3 (x) + 3 (2 y)$ .

$3 (x + 2 y)$

Step 9

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

$3$