Express left parenthesis, x, plus, 11, right parenthesis, squared(*x*+11)2 as a trinomial in standard form

To express \((x + 11)^2\) as a trinomial in standard form, we expand the expression using the formula for squaring a binomial:

\[
(a + b)^2 = a^2 + 2ab + b^2
\]

In this case, \(a = x\) and \(b = 11\). Applying the formula:

\[
(x + 11)^2 = x^2 + 2(x)(11) + 11^2
\]

Now simplify:

\[
(x + 11)^2 = x^2 + 22x + 121
\]

So, the trinomial in standard form is:

\[
x^2 + 22x + 121
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you factor a trinomial like \(x^2 + 22x + 121\)?
2. What is the general formula for expanding \((a + b)^2\)?
3. How would you expand \((x - 5)^2\) as a trinomial?
4. What is the difference between squaring a binomial and multiplying two different binomials?
5. Can you use the distributive property to explain the expansion of \((x + 11)^2\)?

**Tip**: Always double-check your expansion by multiplying the terms out individually to avoid mistakes.

Express (x + 11)^2 as a trinomial in standard form

Learn how to expand and simplify the binomial expression (x + 11)^2 into a trinomial. This step-by-step solution uses the binomial expansion formula to demonstrate the process, ideal for students in Grades 8-10.

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