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Chapter 5: Problem 8

Remove the brackets from the given expression: \((x+1)(x-3)\)

Short Answer

Expert verified
Question: Remove the brackets from the expression \((x+1)(x-3)\). Answer: \(x^2 - 2x - 3\)

Step by step solution

01

Apply the FOIL method (First, Outer, Inner, Last)

Multiply the first terms of each parentheses, the outer terms, the inner terms, and the last terms. First: \(x \cdot x = x^2\) Outer: \(x \cdot (-3) = -3x\) Inner: \(1 \cdot x = x\) Last: \(1 \cdot (-3) = -3\)
02

Combine the terms

Now, we will add all the resulting terms together: \(x^2 - 3x + x - 3\)
03

Simplify the expression

Combine any like terms in the expression: \(x^2 - 2x - 3\) The simplified expression without brackets is \(x^2 - 2x - 3\).

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