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blondinia [14]
3 years ago
14

Choose one of the factors of x3 + 343

Mathematics
1 answer:
amm18123 years ago
3 0

If we observe closely the given, we can note that the terms given are perfect cubes. That is,

<span>            x^3 is cube of x     and</span>

<span>            343 is cube of 7</span>

 

Hence, the expression is the sum of two cubes. For the sum of cubes, we follow the following rule for the factoring:

<span>                            a^3 + b^3 = (a + b)(a^2 – ab + b^2)</span>

 

Applying the rule to the given, the factors would be:

<span>                            X^3 + 373 = (x + 7)(x^2 – 7x + 49)</span>

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