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Answer :
To find the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], let's break it down into simple steps:
1. Multiply the coefficients:
- The coefficients here are 4, -3, and -7.
- Multiply them:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
- The result is 84 because multiplying two negative numbers, [tex]\(-3\)[/tex] and [tex]\(-7\)[/tex], gives a positive product.
2. Combine the exponents of [tex]\(x\)[/tex]:
- Look at the powers of [tex]\(x\)[/tex] in each term. They are [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- To combine them, simply add their exponents:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Write the final expression:
- After combining the coefficients and the exponents, the product is:
[tex]\[
84x^{12}
\][/tex]
So, the correct answer is [tex]\(84x^{12}\)[/tex].
1. Multiply the coefficients:
- The coefficients here are 4, -3, and -7.
- Multiply them:
[tex]\[
4 \times (-3) \times (-7) = 84
\][/tex]
- The result is 84 because multiplying two negative numbers, [tex]\(-3\)[/tex] and [tex]\(-7\)[/tex], gives a positive product.
2. Combine the exponents of [tex]\(x\)[/tex]:
- Look at the powers of [tex]\(x\)[/tex] in each term. They are [tex]\(x^1\)[/tex], [tex]\(x^8\)[/tex], and [tex]\(x^3\)[/tex].
- To combine them, simply add their exponents:
[tex]\[
1 + 8 + 3 = 12
\][/tex]
3. Write the final expression:
- After combining the coefficients and the exponents, the product is:
[tex]\[
84x^{12}
\][/tex]
So, the correct answer is [tex]\(84x^{12}\)[/tex].
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