A powerpoint presentation of factoring the difference of two squares with Math Quiz Show as the motivation

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28. START OF
DISCUSSION
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29. Factoring Difference of
Two Squares
Ms. Lorie Jane L. Letada
Math Teacher

30. 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 )

32. 𝟐𝟓 = 𝟓
𝑮𝒆𝒕 𝒕𝒉𝒆 𝒔𝒒𝒖𝒂𝒓𝒆 𝒓𝒐𝒐𝒕.
𝟒𝟗 = 𝟕
𝟒𝒗 𝟐 = 𝟐𝒗
𝟗𝒑 𝟐 = 3𝒑
𝟏𝟔𝒘 𝟒 =4𝑤2
𝟏𝟒𝟒𝒘 𝟖 = 12𝑤 𝟒

33. 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 )

35. 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 )

37. 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).