Pre-Algebra Examples

$8 a^{3} - a^{2} b + 4 a b^{2} - 12 b^{3}$ , $6 a^{2} b - a b^{2} + b^{3}$

Step 1

Add $- a^{2} b$ and $6 a^{2} b$ .

$8 a^{3} + 4 a b^{2} - 12 b^{3} + 5 a^{2} b - a b^{2} + b^{3}$

Step 2

Subtract $a b^{2}$ from $4 a b^{2}$ .

$8 a^{3} - 12 b^{3} + 5 a^{2} b + 3 a b^{2} + b^{3}$

Step 3

Add $- 12 b^{3}$ and $b^{3}$ .

$8 a^{3} - 11 b^{3} + 5 a^{2} b + 3 a b^{2}$

Step 4

Since there are no common prime factors, the GCF is $1$ .

$1$