What is the value of $(a^2 +b^2 +4c^2 -ab -2ca)( a + b + 2c) ?$
Answer & explanation
Correct answer: option 4
We know,
x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
(a + b + 2c) (a2 + b2 + 4c2 – ab – 2bc – 2ca)
= a3 + b3 + 8c3 – 6abc