what is the expansion of (a-b-c)2??
Answers
Answered by
212
Hi ,
(a - b - c )^2
= ( a - b - c ) ( a - b - c )
= a ( a - b - c ) - b ( a - b - c ) - c ( a - b - c )
= a ^2 - ab - ac - ab + b ^2 + bc - ac + bc + c 2
= a ^2 + b ^2 + c ^2 - 2ab + 2bc - 2ac
Thetefore,
( a - b - c )^2 = a^2 + b ^2 + c ^2 - 2ab + 2bc - 2ac
I hope this will useful to you.
*****
(a - b - c )^2
= ( a - b - c ) ( a - b - c )
= a ( a - b - c ) - b ( a - b - c ) - c ( a - b - c )
= a ^2 - ab - ac - ab + b ^2 + bc - ac + bc + c 2
= a ^2 + b ^2 + c ^2 - 2ab + 2bc - 2ac
Thetefore,
( a - b - c )^2 = a^2 + b ^2 + c ^2 - 2ab + 2bc - 2ac
I hope this will useful to you.
*****
Answered by
6
Answer:
x ^2 + y ^2 + z ^2 - 2xy + 2yz - 2xz
Step-by-step explanation:
(x - y - z )^2
( x - y - z ) ( x - y - z )
x ^2 - xy - xz - xy + y ^2 + yz - xz + xz + z^2
x ^2 + y ^2 + z ^2 - 2xy + 2yz - 2xz
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