Find the product. Simplify your answer. (m - 1)(m + 1) ______

Identify special case: Identify the special case that applies here. The expression (m - 1)(m + 1) is in the form of (a - b)(a + b). Special case: (a - b)(a + b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (m - 1)(m + 1) with (a - b)(a + b). a = m b = 1Apply difference of squares formula: Apply the difference of squares formula to expand (m - 1)(m + 1). (a - b)(a + b) = a^2 - b^2 (m - 1)(m + 1) = m^2 - 1^2Simplify expression: Simplify m^2 - 1^2. m^2 - 1^2 = m^2 - 1

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Find the product. Simplify your answer. $\newline$ $(m - 1)(m + 1)$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(m - 1)(m + 1)

Identify special case: Identify the special case that applies here. $\newline$ The expression $(m - 1)(m + 1)$ is in the form of $(a - b)(a + b)$ . $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(m - 1)(m + 1)$ with $(a - b)(a + b)$ . $a = m$ $b = 1$
Apply difference of squares formula: Apply the difference of squares formula to expand $(m - 1)(m + 1)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(m - 1)(m + 1) = m^2 - 1^2$
Simplify expression: Simplify $m^2 - 1^2$ . $\newline$ $m^2 - 1^2 = m^2 - 1$