Answer:
(4x + 5)(5x - 3).
Explanation:
20x^2 + 25x - 12x - 15 by grouping:
Start with the expression:
20x^2 + 25x - 12x - 15.
Group the terms in pairs, like this:
(20x^2 + 25x) - (12x + 15).
Now, look for the greatest common factor (GCF) in each group:
In the first group
(20x^2 + 25x), the GCF is 5x because both terms are divisible by 5x.
So, factor out 5x: 5x(4x + 5).
In the second group (12x + 15), the GCF is 3 because both terms are divisible by 3.
So, factor out 3: 3(4x + 5).
Now, your expression looks like this:
5x(4x + 5) - 3(4x + 5).
Notice that both groups have the common factor (4x + 5).
Factor this out: (4x + 5)(5x - 3).
So, the factored form of 20x^2 + 25x - 12x - 15 is (4x + 5)(5x - 3)