3
it’s just how far away that number is from zero
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:

Step-by-step explanation:
To find the quotient, convert the mixed number to an improper fraction first

Find the quotient now

Simplify
Divide by
both numerator and denominator

Convert to a mixed number

Answer:
1/27
Step-by-step explanation:
[(3^-5)(3^4)]^3
= [(3^(-5+4)]^3
= [3^-1]^3
= 3^-3
= 1/3^3
= 1/27
Answer:
the answer is the 2nd and 3rd option
Step-by-step explanation: