Question

if a=-5,b=-6,c=10 then find a^3+b^3+c^3-3abc=(ab+bc+ca-a^2-b^2-c^2)​

Answer 1

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Good morning

a = -5. b= -6. c= 10

L.H.S ====>

a^3 + b^3 + c^3 - 3abc

(-5)3 + (-6)3 + (10)3 - 3(-5)(-6)(10)

-125 - 216 + 1000 - 900

-1241 + 1000

-241

R.H.S =====>

ab+bc+ca - a^2 - b^2 - c^2

(-5)(-6) + (-6)(10)+(10)(-5) - (-5)^2 - (-6)^2 -( 10)^2

30 -60-50-25-36-100

-241

Hence it proved

L.H.S = R.H.S

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