Question
Score: 0 of 1 point Multiply. \( (3 y)(3 x z)\left(-4 x z^{3}\right)= \) Enter your answer
Ask by Rodriguez Stephens. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The final product is \( -36x^2 y z^4 \).
Solution
1. Multiply the numerical coefficients:
\[
3 \times 3 \times (-4) = -36.
\]
2. Multiply the \( x \) terms:
\[
x \times x = x^2.
\]
3. Multiply the \( z \) terms:
\[
z \times z^3 = z^{1+3} = z^4.
\]
4. Combine with the variable \( y \) (which appears only once):
\[
-36 \times x^2 \times y \times z^4.
\]
Thus, the final product is:
\[
-36 x^2 y z^4.
\]
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Simplify this solution Bonus Knowledge
To solve the expression \( (3 y)(3 x z)(-4 x z^{3}) \), we'll start by multiplying the coefficients and then combine the variables. 1. First, multiply the coefficients: \(3 \times 3 \times -4 = -36\). 2. Now, combine the variables: \(y \cdot x \cdot z \cdot x \cdot z^{3} = y \cdot x^{2} \cdot z^{4}\). Putting it all together, we get: \[ -36 x^{2} y z^{4} \] So, the final answer is \( -36 x^{2} y z^{4} \).
