Question

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

Answer 1

Answer:

a^2 + 4bc

Step-by-step 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

$= a^{2} + 4bc$