Find the square. Simplify your answer. (3m - 1)^2 ______

Identify Special Case: Identify the special case that applies to the given expression (3m - 1)^2. This expression is in the form of (a - b)^2. Special case: (a - b)^2 = a^2 - 2ab + b^2Identify Values of a and b: Identify the values of a and b in the expression (3m - 1)^2. Compare (3m - 1)^2 with (a - b)^2. a = 3m b = 1Apply Binomial Formula: Apply the square of a binomial formula to expand (3m - 1)^2. (a - b)^2 = a^2 - 2ab + b^2 (3m - 1)^2 = (3m)^2 - 2(3m)(1) + (1)^2Simplify Expression: Simplify the expression (3m)^2 - 2(3m)(1) + (1)^2. (3m)^2 - 2(3m)(1) + (1)^2 = (3m * 3m) - (2 * 3 * 1)m + 1 * 1 = 9m^2 - 6m + 1

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Find the square. Simplify your answer. $\newline$ $(3m - 1)^2$

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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

(3m - 1)^2

Identify Special Case: Identify the special case that applies to the given expression $(3m - 1)^2$ . This expression is in the form of $(a - b)^2$ . Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify Values of $a$ and $b$ : Identify the values of $a$ and $b$ in the expression $(3m - 1)^2$ . Compare $(3m - 1)^2$ with $(a - b)^2$ . $a = 3m$ $b = 1$
Apply Binomial Formula: Apply the square of a binomial formula to expand $(3m - 1)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(3m - 1)^2 = (3m)^2 - 2(3m)(1) + (1)^2$
Simplify Expression: Simplify the expression (\(3m)^ $2$ - $2$ ( $3$ m)( $1$ ) + ( $1$ )^ $2$ .\
(\(3m)^ $2$ - $2$ ( $3$ m)( $1$ ) + ( $1$ )^ $2$ \
= ( $3$ m \times $3$ m) - ( $2$ \times $3$ \times $1$ )m + $1$ \times $1$ \
= $9$ m^ $2$ - $6$ m + $1$