# Simplify `(b+10)/(4b-20) - (4b + 20)/(5b-25)` b+10/4b-20 - 4b+20/5b-25

*print*Print*list*Cite

### 1 Answer

= `(b+10)/(4(b- 5)) - (4(b+5))/(5(b-5))`

Lowest common denominator is 20(b-5). Mulitiply each side according to the LCD:

`therefore = (5(b+10) - 4(4)(b+5))/ (20(b-5))`

Remove the brackets. Care with the negative (-) sign:

= `(5b + 50 - 16b - 80)/(20(b-5))`

= `(-11b- 30)/(20 (b-5))`

= `(-(11b+30))/(20(b-5))`