Express (x-6)^(2) as a trinomial in standard form. Answer:

Identify special case: Identify the special case for (x-6)^2. (x-6)^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-6)^2 with (a - b)^2. a = x b = 6Apply binomial square: Apply the square of a binomial to expand (x-6)^2. (a - b)^2 = a^2 - 2ab + b^2 (x-6)^2 = x^2 - 2(x)(6) + 6^2Simplify expression: Simplify x^2 - 2(x)(6) + 6^2. x^2 - 2(x)(6) + 6^2 = x^2 - (2 * 6)x + 36 = x^2 - 12x + 36

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Express
(x-6)^(2) as a trinomial in standard form.
Answer:

Express $(x-6)^{2}$ as a trinomial in standard form. $\newline$ Answer:

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Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Express

(x-6)^{2}

as a trinomial in standard form.

\newline

Answer:

Identify special case: Identify the special case for $(x-6)^2$ . $(x-6)^2$ is in the form of $(a - b)^2$ . Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(x-6)^2$ with $(a - b)^2$ . $a = x$ $b = 6$
Apply binomial square: Apply the square of a binomial to expand $(x-6)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(x-6)^2 = x^2 - 2(x)(6) + 6^2$
Simplify expression: Simplify $x^2 - 2(x)(6) + 6^2.$ $\newline$ $x^2 - 2(x)(6) + 6^2$ $\newline$ = $x^2 - (2 \times 6)x + 36$ $\newline$ = $x^2 - 12x + 36$