(10) 36abc (2a - 4) (3b + 9) =
216abc (b + 3) (a - 2)
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Given : 36abc (2a - 4) (3b + 9) = 216abc (b + 3) (a - 2)
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Solution:
36abc (2a - 4) (3b + 9) = 216abc (b + 3) (a - 2)
LHS = 36abc (2a - 4) (3b + 9)
= 36abc (2a - 2x2) (3b + 3x3)
= 36abc x 2( a - 2 ) 3( b + 3)
= 36 abc x 2 x 3 ( a - 2 ) ( b + 3)
= 36 x 2 x 3 abc( a - 2 ) ( b + 3)
= 216 abc( a - 2 ) ( b + 3)
= 216 abc( b + 3)( a - 2 )
= RHS
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