Answer:
2xy(2x +3)(2x -5)
Explanation:
The greatest common factor of the coefficients 8 and 30 is 2. All of the variable expressions have a common factor of xy. We can factor those out to get ...
= (2xy)(4x^2 -4x -15)
Now, we want to find factors of the product (4)(-15) that have a sum of -4 (the x coefficient). Those factors are 6 and -10. Then we can rewrite the quadratic factor as ...
4x^2 +6x -10x -15
and factor by pairs:
= 2x(2x +3) -5(2x +3) = (2x -5)(2x +3)
The complete factorization is then ...
= 2xy(2x +3)(2x -5)