Find the square. Simplify your answer. (p - 4)^2 ______

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula to use. The given expression is (p - 4)^2, which is in the form of (a - b)^2. Special case: (a - b)^2 = a^2 - 2ab + b^2Identify a and b: Identify the values of a and b in the binomial. In the expression (p - 4)^2, compare it with (a - b)^2 to find: a = p b = 4Apply Binomial Formula: Apply the square of a binomial formula to expand (p - 4)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we get: (p - 4)^2 = p^2 - 2(p)(4) + 4^2Simplify Expression: Simplify the expanded expression. p^2 - 2(p)(4) + 4^2 = p^2 - 8p + 16

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Find the square. Simplify your answer. $\newline$ $(p - 4)^2$

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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

(p - 4)^2

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The given expression is $(p - 4)^2$ , which is in the form of $(a - b)^2$ . $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial. $\newline$ In the expression $(p - 4)^2$ , compare it with $(a - b)^2$ to find: $\newline$ $a = p$ $\newline$ $b = 4$
Apply Binomial Formula: Apply the square of a binomial formula to expand $(p - 4)^2$ . Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we get: $(p - 4)^2 = p^2 - 2(p)(4) + 4^2$
Simplify Expression: Simplify the expanded expression. $\newline$ $p^2 - 2(p)(4) + 4^2$ $\newline$ = $p^2 - 8p + 16$