Express (x-3)^(2) as a trinomial in standard form. Answer:

Identify Special Case: Identify the special case for (x-3)^2. The expression (x-3)^2 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. Compare (x-3)^2 with (a - b)^2. a = x b = 3Apply Binomial Formula: Apply the square of a binomial formula to expand (x-3)^2. (a - b)^2 = a^2 - 2ab + b^2 (x-3)^2 = x^2 - 2(x)(3) + 3^2Simplify Expression: Simplify x^2 - 2(x)(3) + 3^2. x^2 - 2(x)(3) + 3^2 = x^2 - (2 * 3)x + 3 * 3 = x^2 - 6x + 9

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Express
(x-3)^(2) as a trinomial in standard form.
Answer:

Express $(x-3)^{2}$ 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-3)^{2}

as a trinomial in standard form.

\newline

Answer:

Identify Special Case: Identify the special case for $(x-3)^2$ . The expression $(x-3)^2$ is in the form of $(a - b)^2$ . Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(x-3)^2$ with $(a - b)^2$ . $a = x$ $b = 3$
Apply Binomial Formula: Apply the square of a binomial formula to expand $(x-3)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(x-3)^2 = x^2 - 2(x)(3) + 3^2$
Simplify Expression: Simplify $x^2 - 2(x)(3) + 3^2$ .
$x^2 - 2(x)(3) + 3^2$
= $x^2 - (2 \times 3)x + 3 \times 3$
= $x^2 - 6x + 9$