Factor 10y2 + 54y - 36.

2 (5x-3) (x+6)

The answer to your question is (y + 6) (10y - 6)

Step-by-step explanation:

Data

factor 10y² + 54y - 36

Process

1. - Multiply 10 by 36

10 x 36 = 360

2. - Find the prime factors of 360

360 2

180 2

90 2

45 3

15 3

5 5

1

3. - Using the prime factors look for two numbers that added gives 54

these numbers are 5 x 3 x 2 x 2 = 60 and 2 x 3 = - 6

4. - Write the equation using these numbers

10y² + 60y - 6y - 36

5. - Factor by grouping

10y (y + 6) - 6 (y + 6)

6. - Factor by common term

(y + 6) (10y - 6)