Question

The length of a rope is 4m2n(3m − 2n + 7). A length of mn(12m + 5mn − 7n) is cut from this rope. What is the length of the remaining rope?0

Answer 1

Answer:

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