Expand. If necessary, combine like terms. (x-10)(x-10)=

Recognize the pattern: Recognize the pattern. The expression (x-10)(x-10) 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-10)(x-10) with (a - b)^2. a = x b = 10Apply the square of a binomial formula: Apply the square of a binomial formula. (a - b)^2 = a^2 - 2ab + b^2 (x - 10)^2 = x^2 - 2(x)(10) + 10^2Simplify the expression: Simplify the expression. x^2 - 2(x)(10) + 10^2 = x^2 - 20x + 100

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Expand. If necessary, combine like terms.

(x-10)(x-10)=

Expand. If necessary, combine like terms. $\newline$ $(x-10)(x-10)=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x-10)(x-10)=

Recognize the pattern: Recognize the pattern. $\newline$ The expression $(x-10)(x-10)$ 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 $(x-10)(x-10)$ with $(a - b)^2$ . $\newline$ $a = x$ $\newline$ $b = 10$
Apply the square of a binomial formula: Apply the square of a binomial formula. $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(x - 10)^2 = x^2 - 2(x)(10) + 10^2$
Simplify the expression: Simplify the expression. $\newline$ $x^2 - 2(x)(10) + 10^2$ $\newline$ = $x^2 - 20x + 100$