To multiply \((x - 1)\) by \((x + 2)\), we can use the distributive property (also known as the FOIL method for binomials). Let's go through the steps:

\[
(x - 1)(x + 2) = x(x + 2) - 1(x + 2)
\]

Now distribute:

\[
x(x + 2) = x^2 + 2x
\]
\[
-1(x + 2) = -x - 2
\]

Now, combine like terms:

\[
x^2 + 2x - x - 2 = x^2 + x - 2
\]

So, the result is:

\[
x^2 + x - 2
\]

Would you like more details on this or have any other questions?

Here are 5 related questions:
1. How do you multiply two binomials using the FOIL method?
2. Can you expand \((x + 3)(x - 4)\)?
3. What happens when you multiply a binomial by a trinomial?
4. How do you factor quadratic expressions like \(x^2 + x - 2\)?
5. What are the applications of binomial multiplication in geometry?

**Tip:** Always double-check your work by expanding both expressions after multiplication to verify correctness.

Discover how to multiply the binomials (x - 1) and (x + 2) using the distributive property, also known as the FOIL method. The step-by-step solution simplifies the expression to x^2 + x - 2, covering essential algebraic concepts. Perfect for students in Grades 7-9.

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