1. Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Factoring Difference of Squares
Mr. Choi
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2. Factoring Difference of Squares
A polynomial that can be expressed in the form is called a difference of squares. A difference of squares can be factored as the product of the sum and difference of the same quantities.
Factoring Difference of Squares
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3. Investigating the Difference of Squares Property
Factoring Difference of Squares
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4. Investigating the Difference of Squares Property - Continued
Factoring Difference of Squares
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5. Investigating the Difference of Squares Property - Continued
Factoring Difference of Squares
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6. Definition of Difference of Squares
The product of two binomials that share identical terms but have opposite operations of addition and subtraction is called a difference of squares.
The factors of a difference of squares are binomials with identical terms but opposite operations.
The positive square root of
i) 9 is and ii) is
The power of its positive square root of 16 is
Factoring Difference of Squares
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7. Factoring Difference of Squares
Example 1:
Factor
You can still treat this as
and think about
2 integers with:
Product of ac:
Sum of b:
(+1)(-36)
 -36
 0
-6 & +6
You can still treat this as
and think about
2 integers with:
Product of ac:
Sum of b:
(+1)(-49)
 -49
 0
-7 & +7
Factoring Difference of Squares
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8. Factoring Difference of Squares
Example 1: Continued
Factor
Factoring Difference of Squares
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9. Factoring Difference of Squares
Example 2:
Factor fully
Factoring Difference of Squares
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10. Factoring Difference of Squares
Example 2: Continued
Factor fully
Simple Trinomial!!
2 integers with:
Product of ac:
Sum of b:
(+1)(-25)
 -25
 -24
-25 & +1
Factoring Difference of Squares
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11. Factoring Difference of Squares
Example 2: Continued
Factor fully
Factoring Difference of Squares
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12. Factoring Difference of Squares
Example 2: Continued
Factor fully
Factoring Difference of Squares
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13. Homework
Work sheet: Factoring Difference of Squares Text: P. 307 #4, 7 Check the website for updates
Factoring Difference of Squares
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14. End of lesson Factoring Difference of Squares
© 2017 E. Choi – MPM2D - All Rights Reserved