Which of the following is a factor of 512x3 − 125?
2 answers:
Answer:
C) 64x2 + 40x + 25
Step-by-step explanation:
we are given
we can also write as
we can use factor formula
we can compare and find 'a' and 'b'
a=8x
b=5
now, we can simplify it
so, (64x^2+40x+25) factor matches
<u>Answer:</u>
The correct answer option is C) 64x^2 + 40x + 25.
<u>Step-by-step explanation:</u>
We are given the following expression:
which can also be written in the form of as:
Now we will apply the difference of cubes Formula:
Therefore, from the given answer options we can see that the option C) 64x^2 + 40x + 25 is the factor of the given expression 512x^3 - 125.
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