Answer:
2x
3
−16
Factor out 2.
2(x
−8)
Consider x
−8. Rewrite x
−8 as x
−2
. The difference of cubes can be factored using the rule: a
−b
=(a−b)(a
2
+ab+b
).
(x−2)(x
+2x+4)
Rewrite the complete factored expression. Polynomial x
+2x+4 is not factored since it does not have any rational roots.
2(x−2)(x
[tex]\tt{2x^{-3}=16}[/tex]
[tex]\tt{x^{-3} =16/2}[/tex]
[tex]\tt{x^{-3}=8}[/tex]
[tex]\tt{x^3 =1/8}[/tex]
[tex]\tt{x^3 = {1/2} ^3}[/tex]
[tex]\tt{x=1/2}[/tex]
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Answers & Comments
Answer:
2x
3
−16
Factor out 2.
2(x
3
−8)
Consider x
3
−8. Rewrite x
3
−8 as x
3
−2
3
. The difference of cubes can be factored using the rule: a
3
−b
3
=(a−b)(a
2
+ab+b
2
).
(x−2)(x
2
+2x+4)
Rewrite the complete factored expression. Polynomial x
2
+2x+4 is not factored since it does not have any rational roots.
2(x−2)(x
2
+2x+4)
Verified answer
Answer:
[tex]\tt{2x^{-3}=16}[/tex]
[tex]\tt{x^{-3} =16/2}[/tex]
[tex]\tt{x^{-3}=8}[/tex]
[tex]\tt{x^3 =1/8}[/tex]
[tex]\tt{x^3 = {1/2} ^3}[/tex]
[tex]\tt{x=1/2}[/tex]