QuestionExpress $(x+4)^{2}$ as a trinomial in standare
Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. The expression $(x+4)^2$ is a binomial squared.
2. We need to expand the binomial to express it as a trinomial.

STEP 2

1. Apply the binomial expansion formula.
2. Simplify the expanded expression to standard form.

STEP 3

Apply the binomial expansion formula $(a+b)^2 = a^2 + 2ab + b^2$ to the expression $(x+4)^2$ .
Here, $a = x$ and $b = 4$ .
$(x+4)^2 = x^2 + 2(x)(4) + 4^2$

STEP 4

Simplify the expression by performing the multiplications:
$x^2 + 2(x)(4) + 4^2 = x^2 + 8x + 16$
The expression $(x+4)^2$ as a trinomial in standard form is:
$x^2 + 8x + 16$

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