Answer: 3z^2 (2+5z) (2-5z)
Step-by-step explanation:
12 z^2 - 75 z^4
To factor this, you'd want to find the GCF, which is 3 z^2, and factor it out.
3 z^2 (4 - 25 z^2)
Rewrite (4- 25 z^2) in the form a^2 - b^2 , where a=2 and b=5z.
3z^2 (2^2 - (5z)^2)
Use the "Difference of two squares": a^2 - b^2 = (a+b) (a-b)
3z^2 (2+5z) (2-5z)
