Answer :
To solve the problem of finding the product [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Multiply the Coefficients:
- Identify the coefficients in each term: 4, -3, and -7.
- Multiply the coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
Note that multiplying two negative numbers results in a positive number.
2. Multiply the Variable Parts:
- Each term also contains powers of [tex]\(x\)[/tex]: [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- To find the product of the variables, add the exponents:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
This is because, when multiplying powers of the same base, you add the exponents.
3. Combine the Results:
- The result of the above calculations gives you the product:
[tex]\[
84x^{12}
\][/tex]
So, the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(\boxed{84x^{12}}\)[/tex].
1. Multiply the Coefficients:
- Identify the coefficients in each term: 4, -3, and -7.
- Multiply the coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
Note that multiplying two negative numbers results in a positive number.
2. Multiply the Variable Parts:
- Each term also contains powers of [tex]\(x\)[/tex]: [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- To find the product of the variables, add the exponents:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
This is because, when multiplying powers of the same base, you add the exponents.
3. Combine the Results:
- The result of the above calculations gives you the product:
[tex]\[
84x^{12}
\][/tex]
So, the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(\boxed{84x^{12}}\)[/tex].
