Ok guys sorry for this but I need help fast.
Factor these completely.
and
100y^22 - 81z^20
3p^4 - 48q^4
This is the difference between two squares:
a^2 - b^2
a^2 - b^2 = (a+b)(a-b)
So, we take your equation: 3p^4 - 48q^4
a^2 = 3p^4 and b^2 = 48q^4
so you'll have to take the square root of each to find a and b. I will refer to the square root of a value as rt(x) from now on. I.E. rt(25)=5
a = rt(3) * p^2 and b = rt(48) * q^2
Now that we have a and b, you plug them back into the expression (a+b)(a-b) to get
(rt(3)p^2 + rt(48)q^2)(rt(3)p^2 - rt(48)q^2)
Now if you want to check your work, FOIL it out and make sure it matches the original expresson.
For the 2nd one, we do the same steps
100y^22 - 81z^20
a^2 = 100y^22 and b^2=81z^20
so
a = 10y^11 and b = 9z^10