Solve, (3x-2)(x+1)(x-3)/(x-2)^2
To simplify the given expression, we can start by factoring the numerator and denominator separately:
The numerator is factored as follows:
(3x - 2)(x + 1)(x - 3)
The denominator is factored as:
(x - 2)^2
Next, we can cancel out any common factors between the numerator and denominator:
In the numerator, we have a (x - 3) term and the denominator has a (x - 2) term, so we cancel them out.
(3x - 2)(x + 1)
Now, if you'd like to simplify it further, you can distribute out the remaining factors in the numerator:
3x(x + 1) - 2(x + 1)
Then, you can simplify the expression by combining like terms:
3x^2 + 3x - 2x - 2
Simplifying it even further gives us the final answer:
3x^2 + x - 2