Question

Expand and simplify each expression. $$ (a+5)^{2} $$

   Expand and simplify each expression.
$$
(a+5)^{2}
$$

Impact Mathematics Algebra and More

Impact Mathematics Algebra and More

McGraw Hill 1st Edition

Chapter 6, Problem 1

Instant Answer

Solved by Expert Amy Jiang

07/03/2020

Step 1

Step 1: First, we need to understand that $(a+5)^{2}$ means $(a+5) * (a+5)$. Show more…

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Expand and simplify each expression. $$ (a+5)^{2} $$

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Key Concepts

Square of a Binomial

This concept involves expanding an expression where a binomial is raised to the power of two. It uses the formula (x + y)² = x² + 2xy + y², which is a specific case of the Binomial Theorem. This formula simplifies the process of expanding binomials, minimizing the need for repetitive multiplication and reducing errors.

Expanding Algebraic Expressions

Expanding algebraic expressions refers to rewriting expressions that include parentheses into an equivalent form without them. This process generally involves the application of the distributive property and known formulas, such as the square of a binomial formula, to simplify and combine like terms. It is a fundamental skill in algebra that helps in solving equations and simplifying expressions.

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