Answer :
To find the product of the expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Multiply the coefficients:
The coefficients in the expression are 4, -3, and -7. Multiply these numbers together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
2. Multiply the powers of [tex]\(x\)[/tex]:
When multiplying expressions with the same base, you add the exponents. The expression has [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex]. Add the exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the results:
Combine the product of the coefficients and the sum of the exponents to get the final answer:
[tex]\[
84x^{12}
\][/tex]
Therefore, the product is [tex]\(84x^{12}\)[/tex]. The correct option is [tex]\(84x^{12}\)[/tex].
1. Multiply the coefficients:
The coefficients in the expression are 4, -3, and -7. Multiply these numbers together:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
2. Multiply the powers of [tex]\(x\)[/tex]:
When multiplying expressions with the same base, you add the exponents. The expression has [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex]. Add the exponents together:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Combine the results:
Combine the product of the coefficients and the sum of the exponents to get the final answer:
[tex]\[
84x^{12}
\][/tex]
Therefore, the product is [tex]\(84x^{12}\)[/tex]. The correct option is [tex]\(84x^{12}\)[/tex].
