4m^2n(3m − 2n + 7) - mn(12m+ 5mn − 7n)
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Step-by-step explanation:
The length of a rope is = 4m2n ( 3 m - 2 n + 7 ) = 12 m3n - 8 m2 n2 + 28 m2n
And
A rope of length is cut from full rope = mn( 12 m + 5 mn - 7 n ) = 12 m2n + 5 m2 n2 - 7 m n2
Therefore,
The length of the remaining rope = 12 m3n - 8 m2 n2 + 28 m2n - ( 12 m2n + 5 m2 n2 - 7 m n2 )
The length of the remaining rope = 12 m3n - 8 m2 n2 + 28 m2n - 12 m2n - 5 m2 n2 + 7 m n2
The length of the remaining rope = 12 m3n - 13 m2 n2 + 16 m2n + 7 m n2
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