20x^2-12x+15x-9

20x^2-12x+15x-9

= 20x^2+3x-9
= (4x+3)(5x-3)

Yes, looks good.

To simplify the expression 20x^2-12x+15x-9, you can combine like terms.

First, combine the -12x and +15x terms. This gives you 3x.

So now the expression becomes 20x^2 + 3x - 9.

To factorize this expression, you can look for common factors of the coefficients of each term and try to find two binomial factors whose product is the given expression.

In this case, there are no common factors, so you need to use the trial and error method to find the factors.

You can start with factoring out the GCF (Greatest Common Factor) of the expression, which is 1.

So the expression becomes x(20x + 3) - 9.

Since there are no like terms left to combine, this cannot be simplified any further.

Therefore, the final simplified expression is (20x + 3)(x) - 9.

To factor the given expression, we can use the method of grouping:

1. Group the terms in pairs:
20x^2 - 12x + 15x - 9

2. Factor out the greatest common factor (if there is one) from each pair:
4x(5x - 3) + 3(5x - 3)

3. Notice that we now have a common binomial factor, (5x - 3), in both terms.
(4x + 3)(5x - 3)

Therefore, the factored form of the expression 20x^2 - 12x + 15x - 9 is (4x + 3)(5x - 3).