Question

Which expression would be equivalent to: Which expression would be equivalent to: \frac{1+b}{2} - 3(a-1)

Answer 1

`(1+b)/(2) - 3(a-1) = (b- 6a+7)/(2)`

Explanation:

Given

`(1+b)/(2) - 3(a-1)`

Required

An equivalent expression

`(1+b)/(2) - 3(a-1)`

Take LCM

`(1+b)/(2) - 3(a-1) = (1+b- 2*3(a-1))/(2)`

`(1+b)/(2) - 3(a-1) = (1+b- 6(a-1))/(2)`

Open bracket

`(1+b)/(2) - 3(a-1) = (1+b- 6a+6)/(2)`

Collect like terms

`(1+b)/(2) - 3(a-1) = (b- 6a+6+1)/(2)`

`(1+b)/(2) - 3(a-1) = (b- 6a+7)/(2)`

Hence, an equivalent expression is:

`(b- 6a+7)/(2)`