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

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The binomial to be squared is (3u - 3), and it 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 binomial (3u - 3). Compare (3u - 3)^2 with (a - b)^2. a = 3u b = 3Apply binomial square formula: Apply the square of a binomial formula to expand (3u - 3)^2. (a - b)^2 = a^2 - 2ab + b^2 (3u - 3)^2 = (3u)^2 - 2(3u)(3) + (3)^2Simplify the expression: Simplify the expression (3u)^2 - 2(3u)(3) + (3)^2. (3u)^2 - 2(3u)(3) + (3)^2 = (3u * 3u) - (2 * 3 * 3)u + 3 * 3 = 9u^2 - 18u + 9

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

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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

(3u - 3)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The binomial to be squared is $(3u - 3)$ , and it is in the form of $(a - b)^2$ . $\newline$ 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 binomial $(3u - 3)$ . Compare $(3u - 3)^2$ with $(a - b)^2$ . $a = 3u$ $b = 3$
Apply binomial square formula: Apply the square of a binomial formula to expand $(3u - 3)^2$ . $(a - b)^2 = a^2 - 2ab + b^2$ $(3u - 3)^2 = (3u)^2 - 2(3u)(3) + (3)^2$
Simplify the expression: Simplify the expression $(3u)^2 - 2(3u)(3) + (3)^2.$ $(3u)^2 - 2(3u)(3) + (3)^2$ $= (3u \times 3u) - (2 \times 3 \times 3)u + 3 \times 3$ $= 9u^2 - 18u + 9$