Simplify each expression. State any excluded values. (32 a^3)/(16 a^2-8 a)

Name: Problem 34, Chapter 11: Algebra 1 Common Core
Uploaded: 2020-04-25T02:16:46-08:00
Duration: 2 min 46 s
Channel: Aditya Modi
Description: Simplify each expression. State any excluded values. (32 a^3)/(16 a^2-8 a)

step 1 Okay, so the question is 32 8 cubed over 16x per minus 8. So there's a many that you can do with

Simplify each expression. State any excluded values. (32...

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Key Concepts

Factoring Polynomials

Factoring is the process of rewriting an expression as a product of its factors. This technique is particularly useful in simplifying rational expressions because it can reveal common factors in the numerator and denominator that may be canceled.

Simplifying Rational Expressions

Simplifying rational expressions involves reducing the expression to its lowest terms by canceling common factors, provided these factors are not zero. This step makes the expression easier to work with and understand, but it must always be performed with an awareness of the non-zero restrictions on the variables.

Excluded Values

Excluded values, or domain restrictions, are the values that make the denominator equal to zero and thus the expression undefined. Identifying these values is essential before canceling any factors to ensure that the original conditions of the expression are preserved.

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