Question

Factorise

a^3+8b^3+27c^3-18abc

Answer 1

a³ - 8b³ + 27c³ - 18abc

Final result :-

a³ - 18abc - 8b³ + 27c³

Step by step solution :-

Step 1 :-

Equation at the end of step 1 :-

( ( ( a³ ) - ( 8 •( b³ ) ) ) + 3³ c³ ) - 18abc

Step 2 :-

Equation at the end of step 2 :-

( ( ( a³ ) - 2³ b³ ) + 3³ c³ ) - 18abc

Step 3 :-

Checking for a perfect cube :-

3.1 a³ - 18abc - 8b³ + 27c³ is not a perfect cube..

Final result :-

a³ - 18abc - 8b³ + 27c³