1.

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

Answer»

(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


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