Factor completely 12 z squared minus 75 z to the fourth power

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)

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3