Question

if a=2, b=3 and c=-2, find the value of
a2+b2+c2-2ab-2bc-2ca+3abc​

Answer 1

a

2

+b

2

+c

2

−2ab−2bc−2ca+3abc

Putting value of a,b, and c

2 {}^{2} + 3 {}^{2} + ( - 2) {}^{2} - 2 \times 2 \times 3 - 2 \times 3 \times ( - 2) - 2 \times ( - 2) \times 2 + 3 \times 2 \times 3 \times ( - 2)2

2

+3

2

+(−2)

2

−2×2×3−2×3×(−2)−2×(−2)×2+3×2×3×(−2)

= 4+9+4-12+12+8-36

= -11