Expand. If necessary, combine like terms. (x-5)^(2)=

Identify special case: Identify the special case that applies to this problem. The expression (x-5)^2 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. Compare (x-5)^2 with (a - b)^2. a = x b = 5Apply binomial formula: Apply the square of a binomial formula to expand (x-5)^2. (a - b)^2 = a^2 - 2ab + b^2 (x-5)^2 = x^2 - 2(x)(5) + 5^2Simplify expression: Simplify x^2 - 2(x)(5) + 5^2. x^2 - 2(x)(5) + 5^2 = x^2 - (2 * 5)x + 25 = x^2 - 10x + 25

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Expand. If necessary, combine like terms.

(x-5)^(2)=

Expand. If necessary, combine like terms. $\newline$ $(x-5)^2=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x-5)^2=

Identify special case: Identify the special case that applies to this problem. $\newline$ The expression $(x-5)^2$ 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 $b$ . $\newline$ Compare $(x-5)^2$ with $(a - b)^2$ . $\newline$ $a = x$ $\newline$ $b = 5$
Apply binomial formula: Apply the square of a binomial formula to expand $(x-5)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(x-5)^2 = x^2 - 2(x)(5) + 5^2$
Simplify expression: Simplify $x^2 - 2(x)(5) + 5^2$ . $\newline$ $x^2 - 2(x)(5) + 5^2$ $\newline$ $= x^2 - (2 \cdot 5)x + 25$ $\newline$ $= x^2 - 10x + 25$