Find the square. Simplify your answer. (t + 4)^2 ______

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula to use. The given expression is (t + 4)^2, which is a binomial squared. The special case formula for the square of a binomial is (a + b)^2 = a^2 + 2ab + b^2.Identify Values of a and b: Identify the values of a and b in the binomial. In the expression (t + 4)^2, a is t and b is 4.Apply Binomial Square Formula: Apply the square of a binomial formula to expand (t + 4)^2. Using the formula (a + b)^2 = a^2 + 2ab + b^2, we get: (t + 4)^2 = t^2 + 2(t)(4) + 4^2Simplify Expanded Expression: Simplify the expanded expression. t^2 + 2(t)(4) + 4^2 = t^2 + 8t + 16

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Find the square. Simplify your answer. $\newline$ $(t + 4)^2$

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Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

\newline

(t + 4)^2

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The given expression is $(t + 4)^2$ , which is a binomial squared. $\newline$ The special case formula for the square of a binomial is $(a + b)^2 = a^2 + 2ab + b^2$ .
Identify Values of $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial. $\newline$ In the expression $(t + 4)^2$ , $a$ is $t$ and $b$ is $4$ .
Apply Binomial Square Formula: Apply the square of a binomial formula to expand $(t + 4)^2$ . Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we get: $(t + 4)^2 = t^2 + 2(t)(4) + 4^2$
Simplify Expanded Expression: Simplify the expanded expression. $\newline$ $t^2 + 2(t)(4) + 4^2$ $\newline$ = $t^2 + 8t + 16$