(2a+1/2b+3c)²
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The given expression (4a−2b−3c)2 can be solved as shown below:
(4a−2b−3c)2
=(4a)2+(−2b)2+(−3c)2+(2×4a×(−2b))+(2×(−2b)×(−3c))+(2×(−3c)×4a)
(∵(a+b+c)2=a2+b2+c2+2ab+2bc+2ca)
=16a2+4b2+9c2−16ab+12bc−24ca
Hence, (4a−2b−3c)2=16a2+4b2+9c2−16ab+12bc−24ca.
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