Factorize:
Question:

Factorize:

$27 a^{3}-b^{3}+8 c^{3}+18 a b c$

 

Solution:

$27 a^{3}-b^{3}+8 c^{3}+18 a b c=(3 a)^{3}+(-b)^{3}+(2 c)^{3}-3 \times(3 a) \times(-b) \times(2 c)$

$=[3 a+(-b)+2 c]\left[(3 a)^{2}+(-b)^{2}+(2 c)^{2}-3 a(-b)-(-b) 2 c-3 a \times 2 c\right]$

$=(3 a-b+2 c)\left(9 a^{2}+b^{2}+4 c^{2}+3 a b+2 b c-6 a c\right)$

 

Administrator

Leave a comment

Please enter comment.
Please enter your name.