# Simplifying Algebraic Expressions on TI 89 Titanium Calculator

TLDRThis video demonstrates simplifying algebraic expressions using the TI 89 Titanium calculator, highlighting its power for solving complex equations with ease. The video covers two questions from a test, showing that over half of the students struggled with them. However, with the calculator, these problems can be solved instantly by inputting the equations and pressing enter, resulting in simplified answers. The first simplifies to 2*cos(x), and the second to 1/x^2, proving the calculator's efficiency in mathematical problem-solving.

### Takeaways

- 🧮 The video demonstrates how to simplify algebraic expressions using the TI-89 Titanium calculator.
- 📊 The TI-89 calculator can solve complex math problems by simply entering the equation and pressing 'Enter'.
- 🧑🏫 The example shows a simplification problem involving trigonometric functions: `sin(x) + sin(-x) + cos(x) + cos(-x)`.
- 🔍 By entering the trigonometric equation into the TI-89, it simplifies directly to `2 * cos(x)`, which matches choice D.
- ✅ The calculator does all the work, requiring no manual calculations, making it very efficient.
- 📐 The second example involves simplifying a factorial expression: `(n-1)!^2 / n!^2`.
- 🔢 The video advises replacing `n` with `x` for ease of input into the calculator.
- 📝 The factorial key can be found in the calculator's catalog, and expressions must be carefully keyed in with proper parentheses.
- 🧩 Entering the factorial expression in the calculator results in `1/x^2`, equivalent to `1/n^2`, matching choice B.
- 👍 The video emphasizes how the TI-89 makes complex mathematical simplifications easy and quick, showcasing its effectiveness.

### Q & A

### What is the main topic of the video?

-The main topic of the video is simplifying algebraic expressions on the TI 89 Titanium calculator.

### Why does the speaker consider this video one of their favorites?

-The speaker considers this video one of their favorites because it demonstrates the power of the TI 89 calculator in simplifying equations, which the college board allows to be used on the test.

### What percentage of students got the first question right according to the video?

-According to the video, 56 percent of students got the first question right.

### What is the equation given in the first question of the video?

-The equation given in the first question is sine x plus sine negative x plus cosine x plus cosine negative x.

### What does the TI 89 calculator simplify the equation to, and which choice does it correspond to?

-The TI 89 calculator simplifies the equation to 2 cosine x, which corresponds to choice D.

### What is the second simplification problem discussed in the video?

-The second simplification problem is n minus 1 factorial squared divided by n factorial squared.

### How does the speaker suggest simplifying the second problem for ease of use on the calculator?

-The speaker suggests using x instead of n for simplicity when inputting the problem into the calculator.

### What is the key used to input factorial in the calculator, according to the video?

-According to the video, the factorial key is found in the catalog under the exclamation mark.

### What is the simplified result of the second problem, and which choice does it correspond to?

-The simplified result of the second problem is 1 over x squared, which corresponds to choice B.

### How does the speaker describe the ease of using the TI 89 calculator for these problems?

-The speaker describes the ease of using the TI 89 calculator as 'easy peasy,' emphasizing that no work is needed other than entering the equation and pressing enter.

### What is the speaker's opinion on the difficulty of the questions presented in the video?

-The speaker's opinion is that the questions are not difficult at all, as they can be easily solved using the TI 89 calculator without any math.

### Outlines

### 📚 Simplifying Equations with TI-89 Calculator

This paragraph introduces a video tutorial on simplifying equations using the TI-89 calculator. The speaker expresses enthusiasm for the topic, suggesting that the TI-89's capabilities are underutilized, especially in the context of standardized testing. The video aims to demonstrate how the calculator can simplify two specific equations with minimal mathematical input from the user. The first equation involves trigonometric functions, and the second is a factorial-based simplification problem. The speaker emphasizes the ease of use, stating that the calculator does the work, simplifying the equations to their most basic forms.

### Mindmap

### Keywords

### 💡Simplifying

### 💡TI 89 Titanium Calculator

### 💡Algebraic Expressions

### 💡College Board

### 💡Sine Function

### 💡Cosine Function

### 💡Factorial

### 💡Squaring

### 💡Catalog

### 💡Simplification Problem

### 💡Equation

### Highlights

This video demonstrates simplifying algebraic expressions using the TI 89 Titanium calculator.

The presenter discusses the potential for the TI 89 calculator to be underutilized in exams.

Only 56% of students answered the first question correctly, indicating potential difficulty.

The TI 89 can simplify equations with no mathematical work required by the user.

The first equation simplifies to 2 cosine x, which is choice D.

Sine of negative x and cosine of negative x are shown to simplify using the calculator.

The presenter emphasizes the ease of inputting and simplifying equations on the TI 89.

The second question involves factorials and their simplification.

Using the TI 89, factorials can be inputted and simplified with ease.

The equation n - 1 factorial squared over n factorial squared simplifies to 1 over x squared.

The presenter shows the process of finding the factorial key in the calculator's catalog.

Parentheses and squaring operations are crucial for accurate simplification.

The final answer for the second question is choice B, 1 over n squared.

The video highlights the simplicity and efficiency of using the TI 89 for algebraic simplification.

The presenter suggests that the TI 89's capabilities are not fully recognized in educational settings.

The video concludes by reiterating the ease of using the TI 89 for complex simplification tasks.