Solve (+4x)×(-4x): Multiplying Terms with Same Variables

Let's solve this problem step-by-step:

• Step 1: Multiply the coefficients: Take the coefficients of the terms $+4$ and $-4$. Multiplying these, we get $4 \times -4 = -16$.
• Step 2: Multiply the variables: The term contains the variable $x$. Using the property of exponents, $x^1 \times x^1 = x^{1+1} = x^2$.
• Step 3: Write the combined expression: Combine the outcomes from Steps 1 and 2: $-16x^2$.

Hence, the expression $(+4x)\times(-4x)$ simplifies to $-16x^2$.

Therefore, the correct solution to the problem is $-16x^2$.