How to factor by grouping:
^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">
1 answer:
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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