How do you simplify #-8( 4+ 5b ) + 9( 1+ 7b )#?

3 Answers
S S.
Feb 13, 2018

#-23+23b#

Explanation:

#-(8+5b)+9(1+7b)=-32-40b+9+63b=-23+23b#

sjc
Feb 13, 2018

#-23+23b=23b-23=23(b-1)#

whichever alternative is required

Explanation:

we use the distributive laws, then simplify by collecting like terms

#-8(4+5b)+9(1+7b)#

#-8xx4+ (-8)xx5b+9xx1+9xx7b#

#=-32-40b+9+63b#

#=-32+9-40b+63b#

#=-23+23b#

which can be factorised if required

#-23(1-b)#

Jim G.
Feb 13, 2018

#23b-23#

Explanation:

#"to simplify distribute brackets and collect like terms"#

#rArr-8(4+5b)+9(1+7b)#

#=color(red)(-32)color(blue)(-40b)color(red)(+9)color(blue)(+63b)#

#=color(blue)(+63b)color(blue)(-40b)color(red)(-32)color(red)(+9)#

#=color(blue)(23b)color(red)(-23)#

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