General rules:
I: Left, outer, inner, right: (a + b)(c+ d) = ac + ad + bc + bd
II: a - b = -(b - a)
III: -(-w) = w
(3x - 2)(4x + 3) - (x + 3)(2x - 5) = (2x + 1)(5x - 2) Use I:
12x2 + 9x - 8x - 6 - (2x2 - 5x +6x -15) = 10x2 - 4x + 5x - 2 Use III, add/subtract some x'es and numbers:
12x2 + x - 6 - 2x2 + 5x - 6x + 15 = 10x2 + x - 2 Add/subtract some x'es and numbers:
..... ...... ..... ..... Add 2 to both sides:
..... ......
Can you take over from here?