1Cademy - Finding the LCD of $$\frac{2}{x^2-x-12}$$ and $$\frac{1}{x^2-16}$$

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Finding the LCD of $\frac{8}{x^2-2x-3}$ and $\frac{3x}{x^2+4x+3}$

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Finding the LCD of $\frac{2}{x^2-x-12}$ and $\frac{1}{x^2-16}$

Find the LCD for the rational expressions $\frac{2}{x^2-x-12}$ and $\frac{1}{x^2-16}$ .

Step 1 — Factor each denominator completely. $x^2 - x - 12 = (x - 4)(x + 3)$ $x^2 - 16 = (x - 4)(x + 4)$

Step 2 — Find the LCD. By matching the common factor $(x - 4)$ and bringing down the unshared factors $(x + 3)$ and $(x + 4)$ , the LCD is $(x + 3)(x - 4)(x + 4)$ .

Updated 2026-06-03

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax

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