Binomial Theorem of (3n + 2)^x

In summary, the person is asking for help in determining the value of (3n + 2)^x and clarifying that x is a positive integer. They also mention knowing the formula and wanting to double check with a math expert.
  • #1
Natasha1
493
9
Could anyone tell me what (3n + 2)^x equals to please so I can check my answer?

I get something awful that would take me too long to type
 
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  • #2
x is a positive integer right ?

Well just apply THIS

marlon
 
  • #3
marlon said:
x is a positive integer right ?

Well just apply THIS

marlon

oops sorry forgot to say x is an integer therefore +ve or -ve. I know the formula just wanted to triple check with a math expert to see if I hadn't made a mistake that's all.
 
  • #4
Natasha1 said:
oops sorry forgot to say x is an integer therefore +ve or -ve. I know the formula just wanted to triple check with a math expert to see if I hadn't made a mistake that's all.

Then you phrased your question very badly. If you want to check your answer, tell us what your answer is. We tend to get very suspicious of someone asking us to tell the answer so he can "check" his answer!
 

1. What is the binomial theorem?

The binomial theorem is a mathematical formula used to expand a binomial expression raised to a power. It states that the coefficient of each term in the expansion is equal to the corresponding combination of the exponent and the term's coefficients.

2. How do you use the binomial theorem?

To use the binomial theorem, you first need to identify the binomial expression and the power it is raised to. Then, you can use the formula (3n + 2)^x = Σ nCr(3^n)(2^r), where n is the exponent and r ranges from 0 to n, to expand the expression.

3. What is the significance of the (3n + 2)^x binomial theorem?

The (3n + 2)^x binomial theorem is significant because it allows us to easily expand and simplify complex binomial expressions. It also has many applications in fields such as probability, statistics, and engineering.

4. Can the binomial theorem be applied to expressions with other coefficients?

Yes, the binomial theorem can be applied to expressions with any coefficients, as long as they follow the binomial form (a + b)^n, where a and b are constants and n is the power.

5. Are there any limitations to the use of the binomial theorem?

The binomial theorem can only be used to expand binomial expressions. It also assumes that the coefficients are constants and that the power is a positive integer. Additionally, the theorem may not be applicable to all types of binomial expressions, such as those with negative or fractional exponents.

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