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

Identify binomial and formula: Identify the binomial to be squared and the special case formula. The given binomial is (3v - 3), and we need to square it. 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 binomial (3v - 3), a is 3v and b is 3.Apply binomial formula: Apply the square of a binomial formula to expand (3v - 3)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we get: (3v - 3)^2 = (3v)^2 - 2(3v)(3) + (3)^2Simplify expression: Simplify the expression by performing the calculations. (3v)^2 - 2(3v)(3) + (3)^2 = 9v^2 - 2 * 3 * 3v + 9 = 9v^2 - 18v + 9

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

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Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

\newline

(3v - 3)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula. $\newline$ The given binomial is $(3v - 3)$ , and we need to square it. 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 binomial $(3v - 3)$ , $a$ is $3v$ and $b$ is $3$ .
Apply binomial formula: Apply the square of a binomial formula to expand $(3v - 3)^2$ . Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we get: $(3v - 3)^2 = (3v)^2 - 2(3v)(3) + (3)^2$
Simplify expression: Simplify the expression by performing the calculations. $\newline$ $(3v)^2 - 2(3v)(3) + (3)^2$ $\newline$ $= 9v^2 - 2 \times 3 \times 3v + 9$ $\newline$ $= 9v^2 - 18v + 9$