12x+x²+36

To simplify the expression \( 12x + x^2 + 36 \), we can rearrange the terms in standard form, which means putting the terms in order from highest degree to lowest degree. The expression can be written as:

\[ x^2 + 12x + 36 \]

Next, we can check if this quadratic expression can be factored. We look for two numbers that multiply to \( 36 \) (the constant term) and add to \( 12 \) (the coefficient of the \( x \) term). The two numbers are \( 6 \) and \( 6 \).

Therefore, we can factor the expression as follows:

\[ x^2 + 12x + 36 = (x + 6)(x + 6) = (x + 6)^2 \]

So the factored form of the expression \( 12x + x^2 + 36 \) is:

\[ (x + 6)^2 \]

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