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Answer :
To solve the expression [tex]\(27x^2 - 3\)[/tex], let's understand the components and operations involved:
1. Identify the Terms:
- The expression is [tex]\(27x^2 - 3\)[/tex].
- It consists of two terms:
- [tex]\(27x^2\)[/tex]: This is a term where 27 is multiplied by [tex]\(x^2\)[/tex].
- [tex]\(-3\)[/tex]: This is a constant term.
2. Simplifying:
- The given expression is already simplified. Each term is distinct, with no like terms to combine.
- The expression is in standard form for a quadratic expression, where the highest power of the variable [tex]\(x\)[/tex] is squared.
3. Understanding the Expression:
- The term [tex]\(27x^2\)[/tex] shows that any change in [tex]\(x\)[/tex] will affect the expression significantly due to it being squared and multiplied by 27.
- The [tex]\(-3\)[/tex] adjusts the expression by reducing the total amount by 3 units.
In summary, the expression [tex]\(27x^2 - 3\)[/tex] is a quadratic expression comprised of two terms, and it's presented in its simplest form.
1. Identify the Terms:
- The expression is [tex]\(27x^2 - 3\)[/tex].
- It consists of two terms:
- [tex]\(27x^2\)[/tex]: This is a term where 27 is multiplied by [tex]\(x^2\)[/tex].
- [tex]\(-3\)[/tex]: This is a constant term.
2. Simplifying:
- The given expression is already simplified. Each term is distinct, with no like terms to combine.
- The expression is in standard form for a quadratic expression, where the highest power of the variable [tex]\(x\)[/tex] is squared.
3. Understanding the Expression:
- The term [tex]\(27x^2\)[/tex] shows that any change in [tex]\(x\)[/tex] will affect the expression significantly due to it being squared and multiplied by 27.
- The [tex]\(-3\)[/tex] adjusts the expression by reducing the total amount by 3 units.
In summary, the expression [tex]\(27x^2 - 3\)[/tex] is a quadratic expression comprised of two terms, and it's presented in its simplest form.
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