Question

find the product (a-b-c)(a2+b2+c2-ab+bc-ca) with out actual multiplication​

Answer 1

Question :

• (a - b - c) (a² + b² + c² - ab + bc - ca)

Solution :

• We know that (x + y + z)(x² + y² + z² − xy − yz − zx = x³ + y³ + z³ − 3xyz

☆ Comparing both, we get : x = a, y = b and z = c

Then,

→ (a + b + c) [(a)² + (b)² + (c)³ − (a)(b) − (b)(c) − (a)(c)]

→ a³ + b³ + c³ − 3(a)(b)(c)

→ a³ + b³ + c³ − 3abc

Answer :

• a³ + b³ + c³ − 3abc

Hope its Help Uhh ;)~