Express (x+6)^2 as a trinomial in standard form

Answer 1

To expand (x + 6)^2, we can use the formula for squaring a binomial:

(x + 6)^2 = x^2 + 2xy + y^2

In this case, the binomial is (x + 6), so y is equal to 6. Therefore, we have:

(x + 6)^2 = x^2 + 2x(6) + 6^2 = x^2 + 12x + 36

So, the trinomial in standard form is x^2 + 12x + 36.