How do you simplify #-21(a+2b)+14a-9b#?

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Answer 1 · 2016-01-27T03:29:43

#-7a-51b#

#-21(a+2b)+14a-9b#

Distribute

#-21a-42b+14a-9b#

Add like terms

#-21a+14a-42b-9b#
#-7a-51b#

:D

Answer 2 · 2016-01-27T03:32:42

#-(7a+51b)#

#-21(a+2b)+14a-9b#

Mutliply #a# and #b# by #-21#:
#-21a - 42b + 14a - 9b#

Reorganize and operate:
#14a-21a-42b-9b#

#-7a-51b#

Optional, common factor #-1#:
#-(7a+51b)#