Answer :
Sure, let's solve the problem step by step.
We need to find the product of the expression: [tex]\((4x)\left(-3x^8\right)\left(-7x^3\right)\)[/tex].
1. Determine the product of the coefficients:
- The coefficients are 4, -3, and -7.
- Multiply them together: [tex]\( 4 \times (-3) \times (-7) = 4 \times 21 = 84 \)[/tex].
2. Combine the powers of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] are 1, 8, and 3 (since [tex]\(x\)[/tex] is [tex]\(x^1\)[/tex]).
- Add these exponents together: [tex]\( 1 + 8 + 3 = 12 \)[/tex].
3. Put it all together:
- The coefficient product is 84.
- The sum of the exponents is 12.
Therefore, the product of [tex]\((4x)\left(-3x^8\right)\left(-7x^3\right)\)[/tex] is [tex]\( 84x^{12} \)[/tex].
So, the correct answer is:
[tex]\[ 84 x^{12} \][/tex]
We need to find the product of the expression: [tex]\((4x)\left(-3x^8\right)\left(-7x^3\right)\)[/tex].
1. Determine the product of the coefficients:
- The coefficients are 4, -3, and -7.
- Multiply them together: [tex]\( 4 \times (-3) \times (-7) = 4 \times 21 = 84 \)[/tex].
2. Combine the powers of [tex]\(x\)[/tex]:
- The exponents of [tex]\(x\)[/tex] are 1, 8, and 3 (since [tex]\(x\)[/tex] is [tex]\(x^1\)[/tex]).
- Add these exponents together: [tex]\( 1 + 8 + 3 = 12 \)[/tex].
3. Put it all together:
- The coefficient product is 84.
- The sum of the exponents is 12.
Therefore, the product of [tex]\((4x)\left(-3x^8\right)\left(-7x^3\right)\)[/tex] is [tex]\( 84x^{12} \)[/tex].
So, the correct answer is:
[tex]\[ 84 x^{12} \][/tex]
