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Answer :
Certainly! Let's break down the expression [tex]\(169x^3 - x\)[/tex] and understand it step by step.
1. Expression Analysis: The expression is a polynomial in terms of [tex]\(x\)[/tex].
- It consists of two terms:
- [tex]\(169x^3\)[/tex]
- [tex]\(-x\)[/tex]
2. Understanding the Terms:
- [tex]\(169x^3\)[/tex] means you are multiplying 169 by the cube of [tex]\(x\)[/tex].
- [tex]\(-x\)[/tex] means you are subtracting [tex]\(x\)[/tex] from the rest of the expression.
3. Simplified Expression:
- After analyzing each part, the complete expression is: [tex]\(169x^3 - x\)[/tex].
- This is already in its simplest form for the given operation.
4. Key Characteristics:
- This is a polynomial of degree 3 because [tex]\(x\)[/tex] is raised to the power of 3 in the highest term.
- The leading coefficient of the polynomial is 169 (from [tex]\(169x^3\)[/tex]).
5. Operations in the Expression:
- You need to multiply [tex]\(x^3\)[/tex] by 169.
- Then, subtract [tex]\(x\)[/tex] from the result of the multiplication.
That's the breakdown of the expression [tex]\(169x^3 - x\)[/tex] in simple terms! Let me know if you have any questions or need further clarification!
1. Expression Analysis: The expression is a polynomial in terms of [tex]\(x\)[/tex].
- It consists of two terms:
- [tex]\(169x^3\)[/tex]
- [tex]\(-x\)[/tex]
2. Understanding the Terms:
- [tex]\(169x^3\)[/tex] means you are multiplying 169 by the cube of [tex]\(x\)[/tex].
- [tex]\(-x\)[/tex] means you are subtracting [tex]\(x\)[/tex] from the rest of the expression.
3. Simplified Expression:
- After analyzing each part, the complete expression is: [tex]\(169x^3 - x\)[/tex].
- This is already in its simplest form for the given operation.
4. Key Characteristics:
- This is a polynomial of degree 3 because [tex]\(x\)[/tex] is raised to the power of 3 in the highest term.
- The leading coefficient of the polynomial is 169 (from [tex]\(169x^3\)[/tex]).
5. Operations in the Expression:
- You need to multiply [tex]\(x^3\)[/tex] by 169.
- Then, subtract [tex]\(x\)[/tex] from the result of the multiplication.
That's the breakdown of the expression [tex]\(169x^3 - x\)[/tex] in simple terms! Let me know if you have any questions or need further clarification!
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