Problem 23

Question

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

Step-by-Step Solution

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Answer

The product of $ (x-1) $ and $ (x+2) $ is $ x^2 + x - 2 $.

1Step 1: 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 $

2Step 2: 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 $

3Step 3: 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 $.

Problem 23

Other exercises in this chapter

Problem 23

Simplify each exponential expression $$ x^{-2} y $$

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Problem 23

rewrite each expression without absolute value bars. $$ ||-3|-|-7|| $$

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Problem 23

In Exercises $17-30,$ factor each trinomial, or state that the trinomial is prime. $$3 x^{2}-x-2$$

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Problem 23

Multiply or divide as indicated. $$ \frac{x+1}{3} \div \frac{3 x+3}{7} $$

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