Simplify the expressions and evaluate them as directed:
(i) x(x – 3) + 2 for x = 1 (ii) 3y(2y – 7) – 3(y – 4) – 63 for y = –2.
Multiply (x – 2) and (2x + 3).
We hve
( x - 1) x (2x + 3) = x X (2x + 3) - 2 x (2x + 3)
= (x X 2x) + ( x X 3) - (2 x 2x) - (2 x 3)
= 2x2 + 3x - 4x - 6
= 2x2 - x - 6 [ Adding the like terms 3x and -4x]
Thus (x - 2) x (2x + 3) = 2x2 - x - 6