How to factor by grouping:

Question

3 years ago

6

^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">

1 answer:

Nataly [62] · Answer 1 · 2022-01-18T08:57:43+03:00

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)