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Factor 20x2 + 25x - 12x - 15 by grouping.

Factor 20x2 + 25x - 12x - 15 by grouping.-example-1
User Parth Shah
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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)
User Mrinal Shukla
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