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Answer :
To find the product of the expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Multiply the Coefficients:
- Identify the coefficients: 4, -3, and -7.
- Multiply these coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
2. Add the Exponents of [tex]\(x\)[/tex]:
- Each term contributes to the exponent of [tex]\(x\)[/tex]:
- [tex]\(4x\)[/tex] has an exponent of 1.
- [tex]\(-3x^8\)[/tex] has an exponent of 8.
- [tex]\(-7x^3\)[/tex] has an exponent of 3.
- Add these exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the Results:
- The product of the expression is the product of the coefficients combined with the sum of the exponents:
[tex]\[
84x^{12}
\][/tex]
Therefore, the correct answer is [tex]\(84x^{12}\)[/tex].
1. Multiply the Coefficients:
- Identify the coefficients: 4, -3, and -7.
- Multiply these coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
2. Add the Exponents of [tex]\(x\)[/tex]:
- Each term contributes to the exponent of [tex]\(x\)[/tex]:
- [tex]\(4x\)[/tex] has an exponent of 1.
- [tex]\(-3x^8\)[/tex] has an exponent of 8.
- [tex]\(-7x^3\)[/tex] has an exponent of 3.
- Add these exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the Results:
- The product of the expression is the product of the coefficients combined with the sum of the exponents:
[tex]\[
84x^{12}
\][/tex]
Therefore, the correct answer is [tex]\(84x^{12}\)[/tex].
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