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Chapter 0: Problem 19

Find each product. $$(x+7)(x+3)$$

Short Answer

Expert verified
The product of (x+7)(x+3) is \(x^2 + 10x + 21\).

Step by step solution

01

Distributed Multiplication

First distribute each term in the first binomial to each term in the second binomial. Hence, \((x + 7)(x + 3)\) becomes \(x(x + 3) + 7(x + 3)\).
02

Further Simplification

Next, simplify the expression from Step 1. This gives \(x^2 + 3x + 7x + 21\).
03

Final Simplification

Lastly, combine like terms. This gives \(x^2 + 10x + 21\).

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