Find the square. Simplify your answer. (a - 1)^2 ______

Identify Formula: Identify the expression to be squared and the special case formula to use. The expression given is (a - 1)^2, which is in the form of (a - b)^2. Special case: (a - b)^2 = a^2 - 2ab + b^2Identify Values: Identify the values of a and b in the expression. In the expression (a - 1)^2, we compare it to (a - b)^2 to find: a = a b = 1Apply Formula: Apply the square of a binomial formula to expand (a - 1)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we get: (a - 1)^2 = a^2 - 2(a)(1) + 1^2Simplify Expression: Simplify the expanded expression. a^2 - 2(a)(1) + 1^2 = a^2 - 2a + 1

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Find the square. Simplify your answer. $\newline$ $(a - 1)^2$

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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

(a - 1)^2

Identify Formula: Identify the expression to be squared and the special case formula to use. $\newline$ The expression given is $(a - 1)^2$ , which is in the form of $(a - b)^2$ . $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify Values: Identify the values of $a$ and $b$ in the expression. $\newline$ In the expression $(a - 1)^2$ , we compare it to $(a - b)^2$ to find: $\newline$ $a = a$ $\newline$ $b = 1$
Apply Formula: Apply the square of a binomial formula to expand $(a - 1)^2$ . $\newline$ Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we get: $\newline$ $(a - 1)^2 = a^2 - 2(a)(1) + 1^2$
Simplify Expression: Simplify the expanded expression. $\newline$ $a^2 - 2(a)(1) + 1^2$ $\newline$ = $a^2 - 2a + 1$