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

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula. The given binomial is (3w - 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 a and b: Identify the values of a and b in the binomial. In the binomial (3w - 3), a is 3w and b is 3.Apply Formula to Expand: Apply the square of a binomial formula to expand (3w - 3)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we get: (3w - 3)^2 = (3w)^2 - 2(3w)(3) + (3)^2Simplify Expression: Simplify the expression by performing the calculations. (3w)^2 - 2(3w)(3) + (3)^2 = 9w^2 - 2(9w) + 9 = 9w^2 - 18w + 9

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

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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

(3w - 3)^2

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula. $\newline$ The given binomial is $(3w - 3)$ , 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 $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial. $\newline$ In the binomial $(3w - 3)$ , $a$ is $3w$ and $b$ is $3$ .
Apply Formula to Expand: Apply the square of a binomial formula to expand $(3w - 3)^2$ . $\newline$ Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we get: $\newline$ $(3w - 3)^2 = (3w)^2 - 2(3w)(3) + (3)^2$
Simplify Expression: Simplify the expression by performing the calculations. $\newline$ $(3w)^2 - 2(3w)(3) + (3)^2$ $\newline$ = $9w^2 - 2(9w) + 9$ $\newline$ = $9w^2 - 18w + 9$