Simplify the following expression: ( a^2 - 4b^2 )^3 + 64 ( b^2 - 4c^2…

Question

Simplify the following expression: ( a^2 - 4b^2 )^3 + 64 ( b^2 - 4c^2 )^3 + ( 16c^2 - a^2 )^3 ( a - 2b )^3 + ( 2b - 4c )^3 + ( 4c - a )^3

Accepted Answer

Option B. 2(a + 2b) (b + 2c) (4c + a). Answer & Solution Answer: Option B Solution: & ( a^2 - 4b^2 )^3 + 64 ( b^2 - 4c^2 )^3 + ( 16c^2 - a^2 )^3 ( a - 2b )^3 + ( 2b - 4c )^3 + ( 4c - a )^3 & Put a = b = c & = ( - 3a^2 )^3 + 64 ( - 3a^2 )^3 + ( 15a^2 )^3 ( - a )^3 + ( - 2a )^3 + ( 3a )^3 & = a^6 [ - 27 - 27 × 64 + ( 1…