Question

I need to know what this is

Answer 1

`★\:\: \frac{3 {x}^(3) - 18 {x}^(2) + 27x}{2 {x}^(2) + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^(2) - 6x + 9) }{2( {x}^(2) + x - 6) } \\ = \frac{3x( {(x)}^(2) - 2 * (3) * (x) + {(3)}^(2) ) }{2( {x}^(2) + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^(2) }{2(x + 3)(x - 2)}‡}✓`

3x(x-3)²/2(x+3)(x-2) is the right answer.