Question

find the product (a-b-c)(a^2+b^2+c^2_ab+bc-ca) without actual multiplication​

Answer 1

(a-b-c)(a^2+b^2+c^2-ab+bc-ca) is in the formula of

(X+Y+z)(x²+y²+z²-xy-yz-xz) = x³+y³+z³-3xyz

so,

by this ( a - b - c )

( X + Y + Z )

X = a

Y = -b

Z = -c

so the answer is (a)³+(-b)³+(-c)³-3(a)(-b)(-c)

= a³ - b³ - c³- 3abc