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Chapter 0: Problem 26

Find each product. $$(2 x-3)(5 x+3)$$

Short Answer

Expert verified
\(10x^2 - 9x - 9\)

Step by step solution

01

Distribute the First Terms

Multiply the first terms in each binomial, \(2x * 5x\), which equals \(10x^2\).
02

Distribute the Outer Terms

Next, multiply the outer terms, \(2x * 3\), which equals \(6x\).
03

Distribute the Inner Terms

Then, multiply the inner terms, \(-3 * 5x\), which equals \(-15x\).
04

Distribute the Last Terms

After that, multiply the last terms, \(-3 * 3\), which equals \(-9\).
05

Combine Like Terms

Finally, combine the middle terms, \(6x\) and \(-15x\), which can be combined to \(-9x\).

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