Question

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

Answer 1

Answer:

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

Step-by-step 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