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

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

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

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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

(t - 1)^2

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