3 years ago

What is the factored form x^3 - 1 ?

Mathematics

1 answer:

amid [387]3 years ago

7 0

Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)

Explanation:

This is a type of factorizing called the sum or difference of 2 cubes:

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

The sum of the cubes is factored as:

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

In this case, we have: x^3 - 1 so follow the rule above.

x^3 - 1 = (x - 1)(x^2 + x + 1)

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Answer:

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Step-by-step explanation:

Using the trigonometric identity

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Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus

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