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Chapter 0: Problem 25

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

Short Answer

Expert verified
The product is \(10x^2 -9x - 9\).

Step by step solution

01

Distribute the first term of the first binomial

Multiply the first term of the first binomial, \(2x\), with each term of the second binomial, \(5x\) and \(3\). This results in: \(10x^2\) and \(6x\). The expression becomes: \(10x^2 + 6x\).
02

Distribute the second term of the first binomial

Multiply the second term of the first binomial, \(-3\), with each term of the second binomial, \(5x\) and \(3\). This yields: \(-15x\) and \(-9\). The expression now is: \(10x^2 + 6x -15x -9\).
03

Combine Like Terms

Combine the like terms \(6x\) and \(-15x\) to simplify the expression. This yields: \(10x^2 -9x - 9\).

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