Janis used the sum of cubes formula to factor 27x^3+8 Her answer is (3x+2)(9x^2-6x+2^2) Identify her error if any.

According to the sum of cubes formula, Janis is correct

Step-by-step explanation:

The sum of cubes formula is given as follows;

x³ + y³ = (x  + y)·(x² - x·y + y²)

The given expression is presented as follows;

27·x³ + 8

The given expression can be expressed as 27·x³ + 8 = (3·x)³ + 2³

Therefore, using the sum of cubes formula, we have;

(3·x)³ + 2³ = (3·x + 2)·((3·x)² - 3·x·2 + 2²) = (3·x + 2)·(9·x² - 6·x + 2²)

∴ 27·x³ + 8 = (3·x)³ + 2³ = (3·x + 2)·(9·x² - 6·x + 2²)

Therefore, Janis is correct, by the sum of cubes formula, we get;

27·x³ + 8 = (3·x + 2)·(9·x² - 6·x + 2²).

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step-by-step explanation:

answer: finding the extract measurements and knowing the points

step-by-step explanation: