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

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The given expression is (v - 3)^2, which 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. Compare (v - 3)^2 with (a - b)^2. a = v b = 3Apply binomial square formula: Apply the square of a binomial formula to expand (v - 3)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we get: (v - 3)^2 = v^2 - 2(v)(3) + 3^2Simplify expanded expression: Simplify the expanded expression. v^2 - 2(v)(3) + 3^2 = v^2 - 6v + 9

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

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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

(v - 3)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The given expression is $(v - 3)^2$ , which 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. Compare $(v - 3)^2$ with $(a - b)^2$ . $a = v$ $b = 3$
Apply binomial square formula: Apply the square of a binomial formula to expand $(v - 3)^2$ . Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we get: $(v - 3)^2 = v^2 - 2(v)(3) + 3^2$
Simplify expanded expression: Simplify the expanded expression. $\newline$ $v^2 - 2(v)(3) + 3^2$ $\newline$ = $v^2 - 6v + 9$