Question

Find the LCM. $$t^{3}+4 t^{2}+4 t, t^{2}-4 t$$

   Find the LCM.
$$t^{3}+4 t^{2}+4 t, t^{2}-4 t$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 7, Problem 51

Instant Answer

Solved by Expert Amy Jiang

06/10/2020

Step 1

We get: $$t(t^{2}+4 t+4), t(t-4)$$ Show more…

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Find the LCM. $$t^{3}+4 t^{2}+4 t, t^{2}-4 t$$

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Key Concepts

Least Common Multiple (LCM)

The least common multiple of expressions is the smallest expression, usually in the form of a polynomial when dealing with algebraic expressions, that contains all the factors of each of the given expressions at their highest power. It is used to combine fractions, simplify expressions and solve equations where having a common denominator or term is required.

Polynomial Factorization

Polynomial factorization is the process of breaking down a polynomial into a product of simpler polynomials or factors. This process is critical in identifying common factors and simplifying expressions when computing operations like the LCM. Factoring methods include extracting the greatest common factor, grouping terms, and using known formulas such as the quadratic formula or special factor patterns.

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