# (Q15.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra | Summary and Q&A

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December 15, 2013
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blackpenredpen
(Q15.) Sample 3 GCC Math 101/120 Common Final Intermediate Algebra

## TL;DR

Learn how to use the binomial expansion formula to find specific terms in an expansion.

## Key Insights

• 😑 The binomial expansion formula simplifies the process of expanding binomial expressions.
• ❓ Utilizing a calculator with an "NCR" function can expedite calculations.
• 💁 Exponents and coefficients in the expanded form can be determined by the positions of terms in the expansion.

## Transcript

for question number 15 it says find the 12 term in the expansion of 3x - y to theer power even though the questions is only asking us for one term the 12th term but in order for this to make sense let me just write down a few things for you guys and in order for us to do this of course you don't to write down this 13 times and then multiply the out... Read More

### Q: What is the binomial expansion formula?

The binomial expansion formula is used to expand expressions of the form (a + b)^n, where n is a positive integer.

### Q: Do I need to memorize the formula?

It's not necessary to memorize the formula itself, but it's important to understand the procedure for using it.

### Q: How can a calculator help with binomial expansion?

Calculators with an "NCR" or "nCr" function can easily calculate binomial coefficients, making the calculations faster and more accurate.

### Q: How do I find a specific term in the expansion?

To find a specific term, determine its position in the expansion by subtracting 1 from the desired term number. Then, use the binomial coefficient and the appropriate powers of the terms involved.

## Summary & Key Takeaways

• The content explains the binomial expansion formula and how to apply it using a calculator.

• The procedure involves writing down the binomial coefficients and the powers of each term.

• Calculation of specific terms requires understanding how the exponents and coefficients correspond.