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Answer :
To find the product of the given expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Multiply the coefficients:
- The coefficients of the terms are [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- Multiply them together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
- Note that multiplying two negative numbers results in a positive number.
2. Add the exponents of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] in the terms are [tex]\(1\)[/tex], [tex]\(8\)[/tex], and [tex]\(3\)[/tex].
- Add these exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the results:
- The resulting product of the expression is:
[tex]\[
84x^{12}
\][/tex]
Thus, the correct product of the expression is [tex]\(84x^{12}\)[/tex]. So, the answer is:
[tex]\[ 84x^{12} \][/tex]
1. Multiply the coefficients:
- The coefficients of the terms are [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- Multiply them together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
- Note that multiplying two negative numbers results in a positive number.
2. Add the exponents of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] in the terms are [tex]\(1\)[/tex], [tex]\(8\)[/tex], and [tex]\(3\)[/tex].
- Add these exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the results:
- The resulting product of the expression is:
[tex]\[
84x^{12}
\][/tex]
Thus, the correct product of the expression is [tex]\(84x^{12}\)[/tex]. So, the answer is:
[tex]\[ 84x^{12} \][/tex]
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