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2 years ago

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

Mathematics

1 answer:

BigorU [14]2 years ago

6 0

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

$= a^{2} + 4bc$

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