Answer :
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
When we expand a function, everything must be multiplied out evenly.
[tex](x+6)*(x+6)\\=x*x +x*6+6*x+6*6\\=x^2 + 6x + 6x+36\\x^2 +12x+36[/tex]
Answer: x² + 12x + 36
Hope that helps!
#LearnwithBrainly
Polynomial Simplification
Polynomials are mathematical expressions made up of many terms.
To simplify the polynomial to the maximum, all like terms must be grouped together and rearranged from highest to lowest power.
(x + 6)(x + 6)
Distribute
x(x + 6) + 6(x + 6)
x² + 6x + 6(x + 6)
x² + 6x + 6x + 36
Combining like terms.