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Question

Solve : 2a[4b{4a(3b¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a+2b)}]

Solution
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2a[4b4a(3b¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a+2b)]

=2a[4b{4a(3b2a2b)}]

=2a−[4b−4a−(3b−2(a+b))]=2a−[4b−{4a−(3b−2(a+b))}]=2a[4b−{4a(3b−2(a+b)}]

=2a−[4b−4a−(3b−2a−2b)]=2a−[4b−{4a−(3b−2a-2b)}]=2a[4b−{4a(3b−2a2b)}]

=2a−[4b−4a−(b−2a)]=2a−[4b−{4a−(b−2a)}]=2a[4b−{4a(b−2a)}]

=2a−[4b−4a−b+2a)]=2a−[4b−{4a−b+2a)}]=2a[4b−{4ab+2a }]

=2a−[4b−6a−b)]=2a−[4b−{6a−b)}]=2a[4b−{6ab}]

=2a−[4b−6a+b]=2a−[4b−6a+b]=2a[4b−6a+b]

=2a−[5b−6a]=2a−[5b−6a]=2a[5b−6a]

=2a−5b+6a=2a−5b+6a=2a−5b+6a

=8a−5b=8a−5b=8a−5b


Hence, 2a[4b4a(3b¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯2a+2b)] =8a5b

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