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Answer :
Sure! Let's break down the expression [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] step by step:
1. Identify the coefficients and exponents:
- For [tex]\(4x\)[/tex]: the coefficient is 4, and the exponent of [tex]\(x\)[/tex] is 1.
- For [tex]\(-3x^8\)[/tex]: the coefficient is -3, and the exponent of [tex]\(x\)[/tex] is 8.
- For [tex]\(-7x^3\)[/tex]: the coefficient is -7, and the exponent of [tex]\(x\)[/tex] is 3.
2. Multiply the coefficients:
- Multiply the coefficients together: [tex]\(4 \times -3 \times -7\)[/tex].
- First, multiply [tex]\(4 \times -3\)[/tex] to get [tex]\(-12\)[/tex].
- Then, multiply [tex]\(-12 \times -7\)[/tex] to get [tex]\(84\)[/tex].
3. Add the exponents:
- Add the exponents of [tex]\(x\)[/tex]: [tex]\(1 + 8 + 3\)[/tex].
- This gives [tex]\(12\)[/tex].
4. Combine the results:
- Putting it all together, the product of the expression is: [tex]\(84x^{12}\)[/tex].
Therefore, the correct product of the expression is [tex]\(84x^{12}\)[/tex]. The correct answer is: [tex]\(84x^{12}\)[/tex].
1. Identify the coefficients and exponents:
- For [tex]\(4x\)[/tex]: the coefficient is 4, and the exponent of [tex]\(x\)[/tex] is 1.
- For [tex]\(-3x^8\)[/tex]: the coefficient is -3, and the exponent of [tex]\(x\)[/tex] is 8.
- For [tex]\(-7x^3\)[/tex]: the coefficient is -7, and the exponent of [tex]\(x\)[/tex] is 3.
2. Multiply the coefficients:
- Multiply the coefficients together: [tex]\(4 \times -3 \times -7\)[/tex].
- First, multiply [tex]\(4 \times -3\)[/tex] to get [tex]\(-12\)[/tex].
- Then, multiply [tex]\(-12 \times -7\)[/tex] to get [tex]\(84\)[/tex].
3. Add the exponents:
- Add the exponents of [tex]\(x\)[/tex]: [tex]\(1 + 8 + 3\)[/tex].
- This gives [tex]\(12\)[/tex].
4. Combine the results:
- Putting it all together, the product of the expression is: [tex]\(84x^{12}\)[/tex].
Therefore, the correct product of the expression is [tex]\(84x^{12}\)[/tex]. The correct answer is: [tex]\(84x^{12}\)[/tex].
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