We are given $a = 2$, $b = -3$, and $c = 4$. We need to evaluate two expressions: (i) $ab - bc$ (ii) $b(a - c)^2$

1. Problem Description

We are given $a = 2$, $b = -3$, and $c = 4$. We need to evaluate two expressions:

(i) $ab - bc$

(ii) $b(a - c)^2$

2. Solution Steps

(i) Evaluate $ab - bc$:

Substitute the given values into the expression:

$ab - bc = (2)(-3) - (-3)(4)$

$= -6 - (-12)$

$= -6 + 12$

$= 6$

(ii) Evaluate $b(a - c)^2$:

Substitute the given values into the expression:

$b(a - c)^2 = (-3)(2 - 4)^2$

$= (-3)(-2)^2$

$= (-3)(4)$

$= -12$

3. Final Answer

(i) $ab - bc = 6$

(ii) $b(a - c)^2 = -12$