Algebra Examples

$90 a u - 36 a v - 150 y u + 60 y v$

Step 1

Factor $6$ out of $90 a u - 36 a v - 150 y u + 60 y v$ .

Tap for more steps...

Step 1.1

Factor $6$ out of $90 a u$ .

$6 (15 a u) - 36 a v - 150 y u + 60 y v$

Step 1.2

Factor $6$ out of $- 36 a v$ .

$6 (15 a u) + 6 (- 6 a v) - 150 y u + 60 y v$

Step 1.3

Factor $6$ out of $- 150 y u$ .

$6 (15 a u) + 6 (- 6 a v) + 6 (- 25 y u) + 60 y v$

Step 1.4

Factor $6$ out of $60 y v$ .

$6 (15 a u) + 6 (- 6 a v) + 6 (- 25 y u) + 6 (10 y v)$

Step 1.5

Factor $6$ out of $6 (15 a u) + 6 (- 6 a v)$ .

$6 (15 a u - 6 a v) + 6 (- 25 y u) + 6 (10 y v)$

Step 1.6

Factor $6$ out of $6 (15 a u - 6 a v) + 6 (- 25 y u)$ .

$6 (15 a u - 6 a v - 25 y u) + 6 (10 y v)$

Step 1.7

Factor $6$ out of $6 (15 a u - 6 a v - 25 y u) + 6 (10 y v)$ .

$6 (15 a u - 6 a v - 25 y u + 10 y v)$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$6 ((15 a u - 6 a v) - 25 y u + 10 y v)$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$6 (3 a (5 u - 2 v) - 5 y (5 u - 2 v))$

Step 3

Factor.

Tap for more steps...

Step 3.1

Factor the polynomial by factoring out the greatest common factor, $5 u - 2 v$ .

$6 ((5 u - 2 v) (3 a - 5 y))$

Step 3.2

Remove unnecessary parentheses.

$6 (5 u - 2 v) (3 a - 5 y)$