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asambeis [7]
3 years ago
15

How can we factorise the expression: 2x^6+17x^3+8?​

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

(a + 2)( {a}^{2}  - 2a +  4 )(2 {x}^{ 3}  + 1)

Step-by-step explanation:

2x^6+17x^3+8 \\  = 2x^6+16x^3 +  {x}^{3} +8 \\  =  2{x}^{3} ( {x}^{3}  + 8) + 1( {x}^{3}  + 8) \\  = ( {x}^{3}  + 8)(2 {x}^{ 3}  + 1) \\  = ( {x}^{3}  +  {2}^{3} )(2 {x}^{ 3}  + 1)  \\  = (a + 2)( {a}^{2}  - 2a +  {2}^{2} )(2 {x}^{ 3}  + 1)   \\  = (a + 2)( {a}^{2}  - 2a +  4 )(2 {x}^{ 3}  + 1)  \\

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Answer:

A.

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Hope this helps!

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Step-by-step explanation:

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lesantik [10]

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Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

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8 0
2 years ago
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alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

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The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

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