Question

What's is the full equation of (x+1)(x+1)?

Answer 1

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The "full equation" to $(x+1)(x+1)$ is

$x^{2}+2x+1$

Answer 2

To get the "full equation," you must distribute. My personal method to distribute these kinds of equations is the FOIL method. It stands for First, Outer, Inner, Last, indicating which numbers or variables to multiply.
(x+1)(x+1)
x*x = x^2
x*1 = x
x*1 = x
1*1 = 1

From here, you add all of the values and simplify.
x^2 + x + x +1
x^2 +2x + 1

Hope this helps! :)