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

3 Answers
Feb 13, 2018

-23+23b23+23b

Explanation:

-(8+5b)+9(1+7b)=-32-40b+9+63b=-23+23b(8+5b)+9(1+7b)=3240b+9+63b=23+23b

Feb 13, 2018

-23+23b=23b-23=23(b-1)23+23b=23b23=23(b1)

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+9xx7b8×4+(8)×5b+9×1+9×7b

=-32-40b+9+63b=3240b+9+63b

=-32+9-40b+63b=32+940b+63b

=-23+23b=23+23b

which can be factorised if required

-23(1-b)23(1b)

Feb 13, 2018

23b-2323b23

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)=3240b+9+63b

=color(blue)(+63b)color(blue)(-40b)color(red)(-32)color(red)(+9)=+63b40b32+9

=color(blue)(23b)color(red)(-23)=23b23