Express (x-9)^(2) as a trinomial in standard form. Answer:

Identify binomial and formula: Identify the binomial and the special case formula. The given expression (x-9)^(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-9)^(2) with (a - b)^2. a = x b = 9Apply binomial square formula: Apply the square of a binomial formula to expand (x-9)^(2). (a - b)^2 = a^2 - 2ab + b^2 (x-9)^(2) = x^2 - 2(x)(9) + 9^2Simplify expression: Simplify x^2 - 2(x)(9) + 9^2. x^2 - 2(x)(9) + 9^2 = x^2 - (2 * 9)x + 81 = x^2 - 18x + 81

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express
(x-9)^(2) as a trinomial in standard form.
Answer:

Express $(x-9)^{2}$ as a trinomial in standard form. $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Express

(x-9)^{2}

as a trinomial in standard form.

\newline

Answer:

Identify binomial and formula: Identify the binomial and the special case formula. $\newline$ The given expression $(x-9)^{2}$ 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 $b$ . Compare $(x-9)^{2}$ with $(a - b)^2$ . $a = x$ $b = 9$
Apply binomial square formula: Apply the square of a binomial formula to expand $(x-9)^{2}$ . $(a - b)^2 = a^2 - 2ab + b^2$ $(x-9)^{2} = x^2 - 2(x)(9) + 9^2$
Simplify expression: Simplify $x^2 - 2(x)(9) + 9^2$ . $\newline$ $x^2 - 2(x)(9) + 9^2$ $\newline$ $= x^2 - (2 \times 9)x + 81$ $\newline$ $= x^2 - 18x + 81$