Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a2+b2+c2−2ab−2ac+2bc
Evaluate
(a−b−c)2
Use (a+b+c)2=a2+b2+c2+2ab+2ac+2bc to expand the expression
a2+(−b)2+(−c)2+2a(−b)+2a(−c)+2(−b)(−c)
Calculate
a2+b2+(−c)2+2a(−b)+2a(−c)+2(−b)(−c)
Calculate
a2+b2+c2+2a(−b)+2a(−c)+2(−b)(−c)
Multiply the numbers
a2+b2+c2−2ab+2a(−c)+2(−b)(−c)
Multiply the numbers
a2+b2+c2−2ab−2ac+2(−b)(−c)
Solution
More Steps
Evaluate
2(−b)(−c)
Multiply the numbers
−2b(−c)
Multiply the numbers
2bc
a2+b2+c2−2ab−2ac+2bc
Show Solution
