Factor 10y2 + 54y – 36.

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)