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

Identify values in binomial: We are asked to find the square of the binomial (3m + 3). This is a special case of the algebraic identity (a + b)^2 = a^2 + 2ab + b^2. We will apply this identity to the given binomial.Apply algebraic identity: Identify the values of a and b in the binomial (3m + 3). Here, a = 3m and b = 3.Simplify each term: Apply the algebraic identity (a + b)^2 = a^2 + 2ab + b^2 to the binomial (3m + 3). (3m + 3)^2 = (3m)^2 + 2(3m)(3) + (3)^2Combine simplified terms: Simplify each term in the expression (3m)^2 + 2(3m)(3) + (3)^2. (3m)^2 = 9m^2 2(3m)(3) = 18m (3)^2 = 9Combine the simplified terms to get the final expanded form of the binomial squared. (3m + 3)^2 = 9m^2 + 18m + 9

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Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

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(3m + 3)^2

Identify values in binomial: We are asked to find the square of the binomial $(3m + 3)$ . This is a special case of the algebraic identity $(a + b)^2 = a^2 + 2ab + b^2$ . We will apply this identity to the given binomial.
Apply algebraic identity: Identify the values of $a$ and $b$ in the binomial $(3m + 3)$ . Here, $a = 3m$ and $b = 3$ .
Simplify each term: Apply the algebraic identity $(a + b)^2 = a^2 + 2ab + b^2$ to the binomial $(3m + 3)$ . $(3m + 3)^2 = (3m)^2 + 2(3m)(3) + (3)^2$
Combine simplified terms: Simplify each term in the expression $(3m)^2 + 2(3m)(3) + (3)^2.$ $(3m)^2 = 9m^2$ $2(3m)(3) = 18m$ $(3)^2 = 9$
Combine simplified terms: Simplify each term in the expression $(3m)^2 + 2(3m)(3) + (3)^2.$ $\newline$ $(3m)^2 = 9m^2$ $\newline$ $2(3m)(3) = 18m$ $\newline$ $(3)^2 = 9$ Combine the simplified terms to get the final expanded form of the binomial squared. $\newline$ $(3m + 3)^2 = 9m^2 + 18m + 9$