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Question
3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}] equals
3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}] equals
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Solution
The correct option is B 5a−14b
3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}]
=3a−[4a−3a+5b−3{2a−(3a−2a+3b)}]
=3a−[4a−3a+5b−3{2a−(a+3b)}]
=3a−[4a−3a+5b−3{2a−a−3b}]
=3a−[a+5b−6a+3a+9b]
=3a−[−2a+14b]
=3a+2a−14b
=5a−14b
5a−14b
3a−[4a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯3a−5b−3{2a−(3a−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a−3b)}]
=3a−[4a−3a+5b−3{2a−(3a−2a+3b)}]
=3a−[4a−3a+5b−3{2a−(a+3b)}]
=3a−[4a−3a+5b−3{2a−a−3b}]
=3a−[a+5b−6a+3a+9b]
=3a−[−2a+14b]
=3a+2a−14b
=5a−14b
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