wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Prove that :

b+ca-bac+ab-cba+bc-ac=3abc-a3-b-c3

Open in App
Solution


Let LHS =Δ = b + c a - b ac + a b - c b a + b c - a c Δ=b + c b - c b c - a c - a - b c + a b a + b c + a c + a b - c a + b c - a Expanding =b + c bc - c2 - bc + ab - a - bc2 + ac - ab - b2 + ac2 - a2 - ab + ac - b2 + bc=bc2 - c3 + abc - ac2 - a2c + a2b + ab2+ bc2+ abc - ab2 - b3+ ac2 - a3 - a2c - ab2 + abcΔ=3abc-a3-b3-c3 Simplyfying =RHS

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Change of Variables
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon