How do you simplify #3(6m+3)+8(m+6)+9(4m+5)#?

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Answer 1 · 2018-04-08T12:43:39

#62m+102#

#3(6m+3)+8(m+6)+9(4m+5)#

First, distribute the numbers outside the braces to the numbers inside:

#18m+9+8m+48+36m+45# (Combine like terms)

#62m+102#

Answer 2 · 2018-04-08T12:53:23

Using the Distributive Property: #color(red)(a(b+c)=ab +ac)#

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102#

#" "#
Given:

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)#

Distributive Property removes the brackets (parentheses) used by bringing a multiplication from outside to inside the parentheses.

#rArr (18m+9)+(8m+48)+(36m+45)#

Combine the like terms to simplify:

#rArr (18m+8m+36m)+(9+48+45)#

#rArr 62m+102#

Hence,

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102#

Hope it helps.