Problem 22 Find each product. $$(x-1)(x+2... [FREE SOLUTION]

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College Algebra

Robert Blitzer

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 0: Problem 22

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

Short Answer

Expert verified

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

Step by step solution

Apply the distributive property

The first step is to apply the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Start by multiplying the first terms in each binomial together, then the outer terms, followed by the inner terms and finally the last terms. So for the expression $(x-1)(x+2)$, Start by multiplying $x$ (from the $x-1)$ by $x$ (from the $x+2)$, giving $x^2$.

Multiply the outer terms

Next, multiply the outer terms together. In this case, that's $x$ (from the $x-1)$ and $2$ (from the $x+2)$. This gives $2x$.

Multiply the inner terms

Now, multiply the inner terms, that's $-1$ (from the $x-1)$ and $x$ (from the $x+2)$ together. This gives $-x$.

Multiply the last terms

Multiply the last terms together. So, $-1$ (from the $x-1)$ and $2$ (from the $x+2)$. Thus, it gives $-2$.

Combine like terms

In the final stage, you combine all the terms from the previous steps. In this case, that's $x^2$, $2x$, $-x$, and $-2$. Combine the $2x$ and $-x$, resulting in $x$.

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91影视

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

Short Answer

Step by step solution

Apply the distributive property

Multiply the outer terms

Multiply the inner terms

Multiply the last terms

Combine like terms

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