how to answer these types of questions
4x²-4x-1
can you demonstrate using an example please
What do you mean by "answer these types of questions"
What were the instructions?
to factorize it
You need the quadratic formula for this, since it does not factor over rational numbers.
Now, 4x^2-4x+1 = (2x-1)(2x-1)
thank you
To answer questions about a given expression like 4x²-4x-1, you can follow these steps:
Step 1: Understand the question:
Take a moment to understand what the question is asking. Are you asked to simplify the expression, factor it, or evaluate it for a specific value of x?
Step 2: Identify the type of expression:
Determine the type of expression you are dealing with. In this case, 4x²-4x-1 is a quadratic expression since it has a degree of 2.
Step 3: Determine the desired outcome:
Based on the question, figure out what you are aiming to achieve. For example, if you are asked to simplify the expression, the goal is to combine like terms and possibly factor it further.
Step 4: Perform the necessary operations:
Depending on the desired outcome, apply the corresponding mathematical operations. For simplification, combine like terms by adding or subtracting coefficients with the same variable (in this case, x). For factoring, look for common factors or use factoring techniques.
For example, let's say you are asked to simplify the expression 4x²-4x-1:
To simplify, you can't further combine any like terms since there are no other terms that have the same variable (x). So, the expression remains as 4x²-4x-1.
Note that without a specific question or instruction, there may be different approaches to interpreting the expression or finding its value.