Expand. (Simplify your answer completely.)
(11 + b)(11 − b)

To expand and simplify the expression \((11 + b)(11 - b)\), we can use the difference of squares formula:

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

Here, \(a = 11\) and \(b = b\). Applying the formula:

\[
(11 + b)(11 - b) = 11^2 - b^2
\]

Now, calculate \(11^2\):

\[
11^2 = 121
\]

So the simplified expression is:

\[
121 - b^2
\]

Would you like any further details or have any questions?

Here are 5 related questions for practice:

1. Expand and simplify \((x + 5)(x - 5)\).
2. What is the result of \((3a + 7)(3a - 7)\)?
3. Simplify the expression \((2p + 9)(2p - 9)\).
4. Use the difference of squares to expand \((4 + 2y)(4 - 2y)\).
5. How would you simplify \((12 + m)(12 - m)\) using the difference of squares?

**Tip:** The difference of squares formula is a powerful tool in algebra for simplifying expressions of the form \((a + b)(a - b)\).

Expand. (Simplify your answer completely.) (11 + b)(11 − b)

Learn how to expand and simplify the algebraic expression (11 + b)(11 - b) using the difference of squares formula. This problem covers key algebraic concepts and is suitable for students in Grades 8-10.

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