Question

Factor the expression completely. $$ 3 x^{3}-27 x $$

   Factor the expression completely. 
$$
3 x^{3}-27 x
$$

Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

James Stewart,… 7th Edition

Chapter 1, Problem 118

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Solved by Expert Griffin Goodwin

06/23/2020

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This gives us: $$3x(x^2 - 9)$$ Show more…

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Factor the expression completely. $$ 3 x^{3}-27 x $$

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Key Concepts

Difference of Squares

The difference of squares is a common factoring technique used when an expression can be written in the form a² - b². It factors into the product of two binomials, (a - b)(a + b), which is especially useful for breaking down quadratic expressions into simpler factors.

Greatest Common Factor (GCF)

The greatest common factor is the largest expression or number that divides each term of a polynomial without a remainder. Factoring out the GCF simplifies the expression and often makes additional patterns, such as standard factoring formulas, more apparent.

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