A powerpoint presentation of factoring difference of two squares

1. Factoring Difference of
Two Squares
Ms. Lorie Jane L. Letada
Math Teacher

2. Factoring the difference of two squares is one of the
common types of factoring a problem that is very easy to
identify.
The factors of the difference between two squares are the product
of the sum and difference of two numbers.
𝒂 𝟐 - 𝒃 𝟐 = ( a + b ) ( a – b )

4. 𝟐𝟓 = 𝟓
𝑮𝒆𝒕 𝒕𝒉𝒆 𝒔𝒒𝒖𝒂𝒓𝒆 𝒓𝒐𝒐𝒕.
𝟒𝟗 = 𝟕
𝟒𝒗 𝟐 = 𝟐𝒗
𝟗𝒑 𝟐 = 3𝒑
𝟏𝟔𝒘 𝟒 =4𝑤2
𝟏𝟒𝟒𝒘 𝟖 = 12𝑤 𝟒

5. 1. Factor 𝐱 𝟐- 25 .
Step 1 : Get the square root of each term.
First Term : 𝒙 𝟐 = 𝒙
Second Term : 𝟐𝟓 = 5
Step 2 : Using x and 5 , form the sum ( x+ 5) and
the difference (x – 5).
𝐱 𝟐
- 25 = 𝒙 + 𝟓 (𝒙 − 𝟓 )

7. 3. Factor 𝒃 𝟐- 4𝐶2 .
Step 1 : Get the square root of each term.
First Term : 𝒃 𝟐 = 𝑏
Second Term : 4𝐶2 = 2c
Step 2 : Using b and 2c , form the sum ( b+ 2c) and
the difference (b – 2c).
𝒃 𝟐- 4𝐶2 = 𝒃 + 𝟐𝒄 (𝒃 − 𝟐𝒄 )

9. 5. Factor 𝟑𝟔𝒇 𝟐- 4𝟎𝟎𝒈 𝟖 .
Step 1 : Get the square root of each term.
First Term : 𝟑𝟔𝒇 𝟐 = 6𝑓
Second Term : 400𝒈 𝟖 = 20𝒈 𝟒
Step 2 : Using 6f and 20𝒈 𝟒
, form the sum ( 6f + 20𝒈 𝟒
)
and the difference (6f – 20𝒈 𝟒
).
𝟑𝟔𝒇 𝟐
- 4𝟎𝟎𝒈 𝟖
= ( 6f + 20𝒈 𝟒) (6f – 20𝒈 𝟒).