Express (x+1)^(2) as a trinomial in standard form. Answer:

Identify binomial: Identify the binomial to be squared. We have the binomial (x + 1) and we need to square it.Apply formula: Apply the square of a binomial formula. The square of a binomial formula is (a + b)^2 = a^2 + 2ab + b^2. Here, a = x and b = 1.Substitute values: Substitute the values of a and b into the formula. (x + 1)^2 = x^2 + 2(x)(1) + 1^2Perform operations: Perform the multiplication and squaring. x^2 + 2(x)(1) + 1^2 = x^2 + 2x + 1Write trinomial: Write the trinomial in standard form. The trinomial in standard form is x^2 + 2x + 1.

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Express
(x+1)^(2) as a trinomial in standard form.
Answer:

Express $(x+1)^{2}$ 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+1)^{2}

as a trinomial in standard form.

\newline

Answer:

Identify binomial: Identify the binomial to be squared. $\newline$ We have the binomial $(x + 1)$ and we need to square it.
Apply formula: Apply the square of a binomial formula. $\newline$ The square of a binomial formula is $(a + b)^2 = a^2 + 2ab + b^2$ . Here, $a = x$ and $b = 1$ .
Substitute values: Substitute the values of $a$ and $b$ into the formula. $(x + 1)^2 = x^2 + 2(x)(1) + 1^2$
Perform operations: Perform the multiplication and squaring. $x^2 + 2(x)(1) + 1^2 = x^2 + 2x + 1$
Write trinomial: Write the trinomial in standard form. $\newline$ The trinomial in standard form is $x^2 + 2x + 1$ .