# Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 10, change the numerator to 2x 4 32x 2 and then simplify. Data from Example 10 Again, the factor 4

Make the given changes in the indicated examples of this section and then solve the resulting problems.

In Example 10, change the numerator to 2x^{4} − 32x^{2} and then simplify.

**Data from Example 10**

Again, the factor 4 − x has been replaced by the equivalent expression −(x − 4). This allows us to recognize the common factor of x − 4. Also, note that the order of the terms of the factor 5 + 3x was changed in writing the third fraction. This was done only to write the terms in the more standard form with the x- term first. However, because both terms are positive, it is simply an application of the commutative law of addition, and the factor itself is not actually changed.

**Transcribed Image Text:**

## 2x4 - 128x 207x3x² = || 2x(x³ - 64) (4x)(5 + 3x) = 2x(x² + 4x + 16) 3x + 5 2x (x4) (x² + 4x + 16) -(x-4) (3x + 5)

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**Related Book For**

## Basic Technical Mathematics

**ISBN:** 9780137529896

12th Edition

**Authors:** Allyn J. Washington, Richard Evans

**Question Details**

**6**- Factoring and Fractions

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