Lutasin ang 12a^2b^2-6abc+3ac^2-6a^2bc-c+2ab

$$12 a ^ { 2 } b ^ { 2 } - 6 a b c + 3 a c ^ { 2 } - 6 a ^ { 2 } b c - c + 2 a b$$

I-factor

$$\left(2ab-c\right)\left(6ab-3ac+1\right)$$

Mga Hakbang ng Solution

Gawin ang grouping na 12a^{2}b^{2}-6abc+3ac^{2}-6a^{2}bc-c+2ab=\left(12a^{2}b^{2}-6abc\right)+\left(3ac^{2}-6a^{2}bc\right)+\left(-c+2ab\right), at i-factor out ang 6ab,-3ac,1 sa bawat grupo ayon sa pagkakasunud-sunod.

$$6ab\left(2ab-c\right)-3ac\left(2ab-c\right)+2ab-c$$

I-factor out ang common term na 2ab-c gamit ang distributive property.

$$\left(2ab-c\right)\left(6ab-3ac+1\right)$$

I-evaluate

$$\left(2ab-c\right)\left(6ab-3ac+1\right)$$