Find the square. Simplify your answer. (m + 3)^2 ______

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The given expression is (m + 3)^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 (m + 3)^2, a is m and b is 3. We will use these values in the special case formula.Apply special case formula: Apply the special case formula to the binomial. Using the values of a and b, we expand (m + 3)^2 using the formula (a + b)^2 = a^2 + 2ab + b^2. (m + 3)^2 = m^2 + 2(m)(3) + 3^2Simplify expanded expression: Simplify the expanded expression. Now we simplify the terms in the expression: m^2 + 2(m)(3) + 3^2 = m^2 + 6m + 9

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

\newline

(m + 3)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The given expression is $(m + 3)^2$ , 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. $\newline$ In the expression $(m + 3)^2$ , $a$ is $m$ and $b$ is $3$ . We will use these values in the special case formula.
Apply special case formula: Apply the special case formula to the binomial. $\newline$ Using the values of $a$ and $b$ , we expand $(m + 3)^2$ using the formula $(a + b)^2 = a^2 + 2ab + b^2$ . $\newline$ $(m + 3)^2 = m^2 + 2(m)(3) + 3^2$
Simplify expanded expression: Simplify the expanded expression. $\newline$ Now we simplify the terms in the expression: $\newline$ $m^2 + 2(m)(3) + 3^2$ $\newline$ = $m^2 + 6m + 9$