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Elenna [48]
1 year ago
11

Factor this: 18x^2+39x-15

Mathematics
2 answers:
taurus [48]1 year ago
6 0

Steps for Factoring:

1) Find CM (common factor) for the expression: 3

   Factor out 3 =>

   3(6x^{2}+13x-5)

2)Factor the above expression by grouping:

  The expression needs to be written as 6x^{2} + ax+ bx -5

 a and b should add up to 13 and multiply up to -30 (6 × -5)

By Guess & Check we find that the pair is a = -2 and b = 15 (-2+15; -2 × 15)

3) Now we can rewrite (6x^{2}+13x-5) as (6x^{2} -2x)+(15x-5)\\

Factor out 2x in the first group and 5 in the second group:

2x(3x-1)+5(3x-1)\\

As 3x-1 is on both sides, now we can do the operation: 2x+5 (distributive property)

(3x-1) (2x+5)

The answer is 3(3x-1) (2x+5)

<em>Hope it helps!</em>

frosja888 [35]1 year ago
4 0
Answer is:
3(2x+5)*(3x-1)
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