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