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IgorLugansk [536]
3 years ago
7

The polynomial x3 + 8 is equal to

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0
The polynomial x3+8 is equal to (x+2)(x2-2x+4)

Hope this helps:)
Ksju [112]3 years ago
6 0

Answer:

x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )

Step-by-step explanation:

The general expansion of a polynomial of type a^{3} +b^{3} is given as follows:

a^{3} +b^{3} =(a+b)(a^{2} -ab+b^{2} )

Given polynomial is x^{3} +8

This can be written as x^{3} +2^{3}, which is of the form  a^{3} +b^{3}.

So we can use the general form to expand this polynomial where;

a→x

b→2

x^{3} +2^{3}=(x+2)(x^{2} -x\times2+2^{2} )

x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )


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