Factor the expression as the sum or difference of two cubes.

Name: Factor the expression as the sum or difference of two cubes.
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Question

Quizplus · Accepted Answer

The expression can be written as:
$11e^3c^3 - 1544 = (e c)^3 + \left(\sqrt[3]{1544}\right)^3$
Therefore, using the sum of cubes formula, we get:
$11e^3c^3 - 1544 = (ec + \sqrt[3]{1544})((ec)^2 - ec\sqrt[3]{1544} + (\sqrt[3]{1544})^2)$
which is the sum of two cubes. Therefore, the correct answer is (C).

Factor the Expression as the Sum or Difference of Two