Question

( a - b - c )^2 - ( b - c )^2 + 2ab - 2ac

Answer 1

a^2 + 4bc

Explanation:

Step 1: Expand the equations individually:

`( a - b - c )^2 = a^(2) + b^(2) + c^(2) - 2ab + 2bc - 2ca \\(b-c)^2 = b^2 + c^2 - 2bc`

Step 2: Put them back together

`= a^(2) + b^(2) + c^(2) - 2ab + 2bc - 2ca - (b^2 + c^2 - 2bc) + 2ab - 2ac\\= a^(2) + b^(2) + c^(2) - 2ab + 2bc - 2ca - b^2 - c^2 + 2bc + 2ab - 2ac\\\\`

Step 3: Final Answer

`= a^(2) + 4bc`