FACTORING SPECIAL PRODUCTS 8

1. FACTORING SPECIAL
PRODUCTS
11.17.20

2. TELL WHETHER EACH OF THE
FOLLOWING NUMBER IS A PERFECT
SQUARE OR NOT.
1.25
2.75
3.81
4.40
5.144
PERFECT SQUARE
NOT
PERFECT SQUARE
PERFECT SQUARE
NOT

3. 1.25
2.81
3.144
4.100
5.64
REWRITE EACH NUMBER IN
EXPONENTIAL FORM.
5 × 𝟓 𝟓 𝟐
𝟗 × 𝟗
𝟏𝟐 × 𝟏𝟐
𝟏𝟎 × 𝟏𝟎
𝟖 × 𝟖
𝟗 𝟐
𝟏𝟐 𝟐
𝟏𝟎 𝟐
𝟖 𝟐

4. 𝒙 𝟐
− 𝒚 𝟐
if x and y are real numbers, variables or algebraic
expressions, then
The difference of two squares is the product of sum and
difference of those terms.
𝒙 𝟐
− 𝒚 𝟐
= (𝒙 + 𝒚)(𝒙 − 𝒚)
1st term 2nd term FACTORED FORM

5. EXAMPLE
𝒙( )( )
𝒙 𝟐
+ 𝟗
𝟑 𝒙 𝟑+ +
Square the
1st term
Square the
2nd term

6. EXAMPLE
𝒚( )( )
𝒚 𝟐
− 𝟖𝟏
𝟗 𝒚 𝟗+ −
Square the
1st term
Square the
2nd term

7. EXAMPLE
𝟒𝒚( )( )
𝟏𝟔𝒚 𝟐
+ 𝟐𝟓
𝟓 𝟒𝒚 𝟓+ +
Square the
1st term
Square the
2nd term

8. EXAMPLE
𝟕𝒚( )( )
𝟒𝟗𝒚 𝟐
− 𝟏𝟎𝟎
𝟏𝟎 𝟕𝒚 𝟏𝟎+ −
Square the
1st term
Square the
2nd term

10. TELL WHETHER EACH OF THE
FOLLOWING NUMBER IS A PERFECT
CUBE OR NOT.
1. 8
2. 25
3. 64
4. 40
5. 27
PERFECT CUBE
NOT
PERFECT CUBE
PERFECT CUBE
NOT

11. 1. 23
2. 33
3. 43
4. 53
5. 63
REWRITE EACH NUMBER IN
EXPONENTIAL FORM.
𝟐 × 𝟐 × 𝟐 𝟖
𝟑 × 𝟑 × 𝟑
𝟒 × 𝟒 × 𝟒
𝟓 × 𝟓 × 𝟓
𝟔 × 𝟔 × 𝟔
𝟐𝟕
𝟔𝟒
𝟏𝟐𝟓
𝟐𝟏𝟔

12. 𝒙 𝟑
+ 𝒚 𝟑
(𝒙 + 𝒚)(𝒙 𝟐
− 𝒙𝒚 + 𝒚 𝟐
)
FACTORED FORM
𝒙 𝟑
+ 𝒚 𝟑
= (𝒙 + 𝒚)(𝒙 𝟐
− 𝒙𝒚 + 𝒚 𝟐
)
𝑭 𝟐
𝑳 𝟐𝑭 𝑭𝑳 𝑳 𝑭•𝑳

13. EXAMPLE
𝒂( )( )
𝒂 𝟑
+ 𝟔𝟒
𝟒 𝒂 𝟐
𝟒 𝟐
+ −
Cube the 1st
and 2nd term
Square the new
1st and 2nd term
𝟒 • 𝒂+

14. EXAMPLE
𝟑𝒄( )( )
𝟐𝟕𝒄 𝟑
− 𝒅 𝟑
𝒅 (𝟑𝒄) 𝟐
𝒅 𝟐+ −
Cube the 1st
and 2nd term
Square the new
1st and 2nd term
𝟑𝒄 • 𝒅+

15. ASSIGNMENT.
In your notebook
answer,
PAGE 10 # 1-2
PAGE 12 #12-13
TO BE
SUBMITTED
TOMORROW
(OCTOBER 2,
2020)