B How do I "step by step" (nx)^2?

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To simplify (3x)^2 step by step, recognize that it represents the product of 3x multiplied by itself, which can be expressed as (3x) * (3x). This results in 3^2 * x^2, leading to 9x^2. The general rule for distributing exponents states that (AB)^2 = A^2B^2. Understanding this concept allows for easier manipulation of expressions involving squared terms. The discussion highlights the simplicity of the process and the importance of recalling basic algebraic principles.
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for example 3x^2 + (3x)^2 is 12x^2

But i don't remember how to brake down (3x)^2 step by step
 
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You can distribute exponents across multiplication. ##(AB)^2=A^2B^2. ##
 
##(3x)^2## means two factors of 3x; i.e., 3x times 3x.
 
(AB)² = (AB)*(AB) = ABAB = AABB = A²B²
 
Oh my, I had a gut feeling it would be something this simple that I've forgot! haha thanks alot! ^^
 

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