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arlik [135]
3 years ago
13

49:05

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
The correct answer is D
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How to factor by grouping: <br><img src="https://tex.z-dn.net/?f=%7B27x%7D%5E%7B3%7D%20%20-%2075x" id="TexFormula1" title="{27x}
Nataly [62]

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

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