Simplify the following expressions and then find the numerical values for x = -2.

(i) 3(2x – 4) + x² + 5

(ii) -2(-3x + 5) – 2(x + 4)

(i) 3(2x – 4) + x² + 5

= 6x – 12 + x² + 5

= x² + 6x – 7

Putting x = -2, we get

= (-2)² + 6(-2) – 7

= 4 – 12 – 7

= 4 – 19 = -15

(ii) -2(-3x + 5) – 2(x + 4)

= 6x – 10 – 2x – 8

= 6x – 2x – 10 – 8

= 4x – 18

Putting x = -2, we get

= 4(-2) – 18

= -8 – 18 = -26