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Chapter 0: Problem 23

Find each product. $$(x-1)(x+2)$$

Short Answer

Expert verified
The product of \( (x-1) \) and \( (x+2) \) is \( x^2 + x - 2 \).

Step by step solution

01

Distribute \( x \) in \( (x+2) \)

To distribute \( x \) in \( (x+2) \), multiply \( x \) with \( x \) and \( x \) with \( 2 \). This gives us \( x*x + x*2 \) which simplifies to \( x^2 + 2x \)
02

Distribute \( -1 \) in \( (x+2) \)

To distribute \( -1 \) in \( (x+2) \), multiply \( -1 \) with \( x \) and \( -1 \) with \( 2 \). This gives us \( -1*x -1*2 \) which simplifies to \( -x -2 \)
03

Combine like terms

Add together the results from Steps 1 and 2. This gives us \( x^2 + 2x -x - 2 \). Simplifying this expression by combining like terms results in \( x^2 + x -2 \).

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Most popular questions from this chapter

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