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

3 Answers
S S.
Feb 13, 2018

-23+23b−23+23b

Explanation:

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

sjc
Feb 13, 2018

-23+23b=23b-23=23(b-1)−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)−8(4+5b)+9(1+7b)

-8xx4+ (-8)xx5b+9xx1+9xx7b−8×4+(−8)×5b+9×1+9×7b

=-32-40b+9+63b=−32−40b+9+63b

=-32+9-40b+63b=−32+9−40b+63b

=-23+23b=−23+23b

which can be factorised if required

-23(1-b)−23(1−b)

Jim G.
Feb 13, 2018

23b-2323b−23

Explanation:

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

rArr-8(4+5b)+9(1+7b)⇒−8(4+5b)+9(1+7b)

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

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

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

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