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Which expression is equivalent to 8 p − 3 n + 4 q − 9 m ? 0 0 5 p n − 5 q m 5 p n minus 5 q m 4 ( 2 p + q ) − 3 ( n + 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n plus 3 m close paren 4 ( 2 p + q ) − 3 ( n − 3 m ) 4 times open paren 2 p plus q close paren minus 3 times open paren n minus 3 m close paren

1 Answer

2 votes

Answer:


8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m]

Explanation:

Given


8p - 3n + 4q -9m

Required

The equivalent expression


8p - 3n + 4q -9m

Rewrite:


8p - 3n + 4q -9m = 8p + 4q- 3n -9m

Group to 2


8p - 3n + 4q -9m = [8p + 4q]- [3n +9m]

Factorize each group


8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m]

Solved

User Liu Dongyu
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