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Chapter 0: Problem 21

Find each product. $$(x-5)(x+3)$$

Short Answer

Expert verified
The result of the multiplication is \(x^{2}-2x-15\)

Step by step solution

01

First terms multiplication

Multiply the first terms of each binomial: \(x * x = x^{2}\)
02

Outer terms multiplication

Multiply the outer terms of the binomials: \(x * 3 = 3x\) and add it to the previous step.
03

Inner terms multiplication

Multiply the inner terms of the binomials: \(-5 * x = -5x\) and add it to the result.
04

Last terms multiplication

Multiply the last terms of the binomials: \(-5 * 3 = -15\) and add it to the result.
05

Simplify

Combine like terms (if any) to simplify the expression, in this case, there is no need to simplify further.

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Most popular questions from this chapter

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

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Will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x,\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with -3 and ending with 3
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