To simplify \((x + 4)(x - 8)\), we will use the distributive property (also known as the FOIL method):

\[
(x + 4)(x - 8) = x(x - 8) + 4(x - 8)
\]

Now distribute each term:

\[
= x^2 - 8x + 4x - 32
\]

Combine the like terms:

\[
x^2 - 4x - 32
\]

So, the simplified expression is:

\[
x^2 - 4x - 32
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \((x + 3)(x - 5)\).
2. Simplify \((2x + 7)(x - 6)\).
3. Expand \((x - 2)(x - 9)\).
4. What is the result of \((3x + 4)(x - 8)\)?
5. Simplify \((x + 1)(x + 1)\).

**Tip:** Always combine like terms after expanding the expression to get the simplified form.

Learn how to simplify the expression (x+4)(x-8) using the distributive property, also known as the FOIL method. This problem covers key algebraic concepts, including polynomial expansion and combining like terms. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation