(a+b-c)2 is equal to
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Answer:
(a+b-c)^2
Can be expressed as
=(a+b-c)*(a+b-c)
On expansion of the above expression
=a*(a+b-c)+b*(a+b-c)-c*(a+b-c)
=a^2+ab-ac+ba+b^2-bc-ca-cb+c^2
Rearrange the above equation
=a^2+b^2+c^2+ab+ba-ac-ca-bc-cb
Rearrange by commutative property
=a^2+b^2+c^2+ab+ab-ac-ac-bc-bc
=a^2+b^2+c^2+2ab-2ac-2bc
On taking out the common terms, the expansion results in the final answer
=a^2+b^2+c^2+2(ab-ac-bc)
Step-by-step explanation:
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