Question

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

Answer 1

Answer:

$\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+7}{2}$

Step-by-step explanation:

Given

$\frac{1+b}{2} - 3(a-1)$

Required

An equivalent expression

$\frac{1+b}{2} - 3(a-1)$

Take LCM

$\frac{1+b}{2} - 3(a-1) = \frac{1+b- 2*3(a-1)}{2}$

$\frac{1+b}{2} - 3(a-1) = \frac{1+b- 6(a-1)}{2}$

Open bracket

$\frac{1+b}{2} - 3(a-1) = \frac{1+b- 6a+6}{2}$

Collect like terms

$\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+6+1}{2}$

$\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+7}{2}$

Hence, an equivalent expression is:

$\frac{b- 6a+7}{2}$