Question

For the following exercises, find the products. $(x+9)^2$

   For the following exercises, find the products.
$(x+9)^2$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 27

Instant Answer

Solved by Expert Ankit Gupta

07/27/2020

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We have \((x + 9)^2\). Show more…

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For the following exercises, find the products. $(x+9)^2$

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Key Concepts

Square of a Binomial

This concept refers to raising a binomial—a sum of two terms—to the power of two. The common formula, (a + b)² = a² + 2ab + b², provides a quick and reliable way to expand the square of a binomial without multiplying the binomial by itself term-by-term. Understanding this identity is essential for simplifying expressions and solving equations that involve squared binomials.

Distributive Property (FOIL Method)

This fundamental property of multiplication over addition is used to expand expressions where each term in one polynomial multiplies each term in another. The FOIL method, which stands for First, Outer, Inner, Last, is a structured way of applying the distributive property to multiply two binomials. This technique reinforces core algebraic manipulation skills and is widely applicable in polynomial expansion tasks.

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