Provide the differences of squares for 10m^2-40 as shown in the example. a^2-b^2=(a-b)(a+b)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 103E
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Provide the differences of squares for 10m^2-40 as shown in the example.

a^2-b^2=(a-b)(a+b)

In the exmaple the differences of squares is shown as y^2=y*y --> a

25= 5*5 --> b

ctoring Completely xd Lesson 11 Factoring Polynomials X +
Vle/enhancedSequenceViewer/1889665?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequer
?) Speedtest What Is My Browser? Checking Feedback...
)
2 of 3
Questions to ask:
Standard form? Yes
GCF?yes; y
How many terms? 2
Factoring Pattern to use:
Diff of Squares
y = y. y * a
25=5-576
DA
MA
Lesson 11 Factoring Completely Day 9
- + Automatic Zoom
OS
Wormate.io Advent... Free Online Textb
Factor y³ - 25y
yes
= y(y² -25) → Can I factor?
= y(y - 5)/(y + 5)
3.) If there are two terms (binomial) check to see if:
-l-tal. --4
View as Text Downlo
the two terms are a difference of two squares then factor using the
identity, a²-b² = (a−b)(a + b)
• or a sum/difference of two cubes. Identity a³ - b³ = (a - b)(a² + ab + b²) or
a³ + b³ = (a + b)(a²- ab + b²)
Print 4
Transcribed Image Text:ctoring Completely xd Lesson 11 Factoring Polynomials X + Vle/enhancedSequenceViewer/1889665?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequer ?) Speedtest What Is My Browser? Checking Feedback... ) 2 of 3 Questions to ask: Standard form? Yes GCF?yes; y How many terms? 2 Factoring Pattern to use: Diff of Squares y = y. y * a 25=5-576 DA MA Lesson 11 Factoring Completely Day 9 - + Automatic Zoom OS Wormate.io Advent... Free Online Textb Factor y³ - 25y yes = y(y² -25) → Can I factor? = y(y - 5)/(y + 5) 3.) If there are two terms (binomial) check to see if: -l-tal. --4 View as Text Downlo the two terms are a difference of two squares then factor using the identity, a²-b² = (a−b)(a + b) • or a sum/difference of two cubes. Identity a³ - b³ = (a - b)(a² + ab + b²) or a³ + b³ = (a + b)(a²- ab + b²) Print 4
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