Question
(5x)(2x^2)(3x) is equivalent to:
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GPT-4o mini
To simplify the expression \( (5x)(2x^2)(3x) \), we can multiply the coefficients and the like terms separately.
1. Multiply the coefficients:
\( 5 \times 2 \times 3 = 30 \).
2. Now, for the \( x \) terms:
\( x \times x^2 \times x = x^{1+2+1} = x^4 \).
Combining both parts together, we have:
\[
(5x)(2x^2)(3x) = 30x^4.
\]
Thus, the expression \( (5x)(2x^2)(3x) \) is equivalent to \( \boxed{30x^4} \).
1. Multiply the coefficients:
\( 5 \times 2 \times 3 = 30 \).
2. Now, for the \( x \) terms:
\( x \times x^2 \times x = x^{1+2+1} = x^4 \).
Combining both parts together, we have:
\[
(5x)(2x^2)(3x) = 30x^4.
\]
Thus, the expression \( (5x)(2x^2)(3x) \) is equivalent to \( \boxed{30x^4} \).
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