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

Identify a and b: We are asked to find the square of the binomial (3u - 2). This is in the form of (a - b)^2, which is a special case of binomial expansion. Special case: (a - b)^2 = a^2 - 2ab + b^2Apply binomial formula: Identify the values of a and b in the binomial (3u - 2). Compare (3u - 2)^2 with (a - b)^2. a = 3u b = 2Simplify the expression: Apply the square of a binomial formula to expand (3u - 2)^2. (a - b)^2 = a^2 - 2ab + b^2 (3u - 2)^2 = (3u)^2 - 2(3u)(2) + 2^2Simplify the expression (3u)^2 - 2(3u)(2) + 2^2. (3u)^2 - 2(3u)(2) + 2^2 = (3u * 3u) - (2 * 3 * 2)u + 2 * 2 = 9u^2 - 12u + 4

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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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(3u - 2)^2

Identify $a$ and $b$ : We are asked to find the square of the binomial $(3u - 2)$ . This is in the form of $(a - b)^2$ , which is a special case of binomial expansion. $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Apply binomial formula: Identify the values of $a$ and $b$ in the binomial $(3u - 2)$ . Compare $(3u - 2)^2$ with $(a - b)^2$ . $a = 3u$ $b = 2$
Simplify the expression: Apply the square of a binomial formula to expand $(3u - 2)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(3u - 2)^2 = (3u)^2 - 2(3u)(2) + 2^2$
Simplify the expression: Apply the square of a binomial formula to expand $(3u - 2)^2$ . $(a - b)^2 = a^2 - 2ab + b^2$ $(3u - 2)^2 = (3u)^2 - 2(3u)(2) + 2^2$ Simplify the expression $(3u)^2 - 2(3u)(2) + 2^2$ . $(3u)^2 - 2(3u)(2) + 2^2$ $= (3u \times 3u) - (2 \times 3 \times 2)u + 2 \times 2$ $= 9u^2 - 12u + 4$