Question

use multiplication to expand the expression below. then compute and/or simplify.
$(3x)^2$
answer attempt 1 out of 4
press the · button or type the * symbol on your keyboard to represent multiplication. using $\times$ for multiplication is inappropriate when $x$ may be used as a variable. for the answer, type the base, then use the $a^b$ button or type the ^ symbol for an exponent.
expanded form:
answer:

Explanation:

Step1: Recall exponent rule

The exponent \( n \) on a product \( (ab)^n \) means multiplying \( ab \) by itself \( n \) times. For \( (3x)^2 \), \( n = 2 \), so we expand it as \( 3x * 3x \) (using * for multiplication as per instructions).

Step2: Simplify the expanded form

Multiply the coefficients and the variables separately. The coefficient part: \( 3 * 3 = 9 \), and the variable part: \( x * x = x^2 \). So combining them, we get \( 9x^2 \).

Expanded Form:

\( 3x * 3x \)

Answer:

\( 9x^2 \)