Question

Find the product. $(x+10)(x+10)$

Name: Problem 69, Chapter 10: Algebra 1: Concepts and Skills
Uploaded: 2020-04-18T03:57:25-08:00
Duration: 34 s
Channel: Heather Zimmers
Description: Find the product. (x+10)(x+10)

   Find the product.
$(x+10)(x+10)$

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 10, Problem 69

Instant Answer

Solved by Expert Heather Zimmers

04/18/2020

Step 1

This is represented as $(x)(x)$, which equals $x^{2}$. Show more…

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Find the product. $(x+10)(x+10)$

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Key Concepts

Perfect Square Trinomial

A perfect square trinomial is the result of squaring a binomial. It follows the pattern (a + b)² = a² + 2ab + b², which is a quick way to expand and simplify the product of a binomial with itself.

Binomial Multiplication

Binomials are polynomials with two terms. Multiplying two binomials involves multiplying each term in the first binomial by each term in the second binomial, often remembered by the FOIL method, which stands for multiplying the First, Outer, Inner, and Last pairs of terms.

Distributive Property

The distributive property allows you to multiply each term in one expression by every term in another expression. It is fundamental in expanding expressions like the repeated binomial, ensuring all combinations of terms are accounted for.

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