Chapter 6: Q. 220 (page 604)

In the following exercises, factor completely.
$81 x^{2} + 169$

Short Answer

Expert verified

The factored form of the given expression is $81 x^{2} + 169$ .

Step by step solution

Step 1. Given information.

The given expression is:
$81 x^{2} + 169$

Step 2. Determine the factored form.

The factor forms of 81 and 169 are:

$\begin{array}{rcl} 81 & = & 3 \times 3 \times 3 \times 3 \\ 169 & = & 13 \times 13 \end{array}$

There is no common factor between $81 x^{2}$ and 169.

The given expression can be written as:

role="math" localid="1644653760220" $\begin{array}{rcl} 81 x^{2} + 169 & = & 9^{2} x^{2} + {(13)}^{2} \\ = & {(9 x)}^{2} + {(13)}^{2} \end{array}$

It is clear that the expression cannot be factored. So, the factored form of the given expression is the expression itself.

Step 3. Conclusion.

The factored form of the given expression is $81 x^{2} + 169$ .

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In the following exercises, factor completely.
$81 x^{2} + 169$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the factored form.

Step 3. Conclusion.

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In the following exercises, factor completely.81x2+169

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the factored form.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Geometry

Statistics

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely.
$81 x^{2} + 169$