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Answer :
To find the product of [tex]\((4x)(-3x^6)(-7x^3)\)[/tex], we should follow these steps:
1. Multiply the Coefficients:
- The coefficients of the terms are 4, -3, and -7.
- Multiply these coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 12 \times (-7) = 84
\][/tex]
2. Add the Exponents of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] in each term are 1, 6, and 3, respectively.
- Add these exponents together:
[tex]\[
1 + 6 + 3 = 10
\][/tex]
3. Combine the Results:
- The combined product is the product of the coefficients followed by [tex]\(x\)[/tex] raised to the power of the sum of the exponents.
- This gives us [tex]\(84x^{10}\)[/tex].
So, the product of [tex]\((4x)(-3x^6)(-7x^3)\)[/tex] is [tex]\(84x^{10}\)[/tex].
The correct choice from the given options is not listed, but the solution calculated here is [tex]\(84x^{10}\)[/tex].
1. Multiply the Coefficients:
- The coefficients of the terms are 4, -3, and -7.
- Multiply these coefficients together:
[tex]\[
4 \times (-3) \times (-7) = 12 \times (-7) = 84
\][/tex]
2. Add the Exponents of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] in each term are 1, 6, and 3, respectively.
- Add these exponents together:
[tex]\[
1 + 6 + 3 = 10
\][/tex]
3. Combine the Results:
- The combined product is the product of the coefficients followed by [tex]\(x\)[/tex] raised to the power of the sum of the exponents.
- This gives us [tex]\(84x^{10}\)[/tex].
So, the product of [tex]\((4x)(-3x^6)(-7x^3)\)[/tex] is [tex]\(84x^{10}\)[/tex].
The correct choice from the given options is not listed, but the solution calculated here is [tex]\(84x^{10}\)[/tex].
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