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Chapter 0: Problem 26

Find each product. $$(2 x-5)(7 x+2)$$

Short Answer

Expert verified
The product of \( (2x - 5) (7x + 2) \) is \( 14x^2 - 31x - 10 \).

Step by step solution

01

Multiply 'First' Terms

Multiply the first terms from both parentheses, which in this case are \(2x\) and \(7x\) to get \(14x^2\).
02

Multiply 'Outer' Terms

Multiply the outer terms from both parentheses, which in this case are \(2x\) and \(2\) to get \(4x\).
03

Multiply 'Inner' Terms

Multiply the inner terms from both parentheses, which in this case are \(-5\) and \(7x\) to get \(-35x\).
04

Multiply 'Last' Terms

Multiply the last terms from both parentheses, which in this case are \(-5\) and \(2\) to get \(-10\).
05

Add all Results

To get the final answer, add all the results obtained from the first four steps. Then, combine like terms: \( 14x^2 + 4x - 35x - 10 = 14x^2 - 31x - 10\).

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