In Exercises 15–58, find each product. (x+5)2

Ch. P - Fundamental Concepts of Algebra

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Blitzer 8th Edition

Ch. P - Fundamental Concepts of Algebra

Problema 42

Capitolo 1, Problema 42

In Exercises 15–58, find each product. (x+5)²

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Recognize that the expression $(x+5)^2$ represents a binomial squared. This means you will apply the formula for squaring a binomial: $(a+b)^2 = a^2 + 2ab + b^2$.

Identify the terms in the binomial: $a = x$ and $b = 5$. Substitute these values into the formula.

Expand the squared binomial using the formula: $(x+5)^2 = x^2 + 2(x)(5) + 5^2$.

Simplify each term: $x^2$ remains as is, $2(x)(5)$ simplifies to $10x$, and $5^2$ simplifies to $25$.

Combine all the simplified terms to express the expanded form of the binomial: $x^2 + 10x + 25$.

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