Page 45 - iMath K to 12 Curriculum Series]

1.3 FACTORING DIFFERENCE OF TWO SQUARES

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Do This

Factor the following polynomials.

2
6
2
1. 9x - 1 = 11. 25x - 49y =
4
4
2. y - 4 = 12. 75 - 3x =
C 2 2 4 4 C
H 3. 100x - 25 = 13. 36x y - 25z = H
A 4. a b - c d = 14. (x - 2) - y = A
2 2
2
2 2
2
P P
2
2
2
2
T 5. 4a - 81b = 15. x - (y - 2z) = T
E 6. x y - 36 = 16. (2x - 3y) - 9z = E
2 2
2
4
R R
1 7. 9x - 16b = 10 17. (4x - 5) - (y + 3) = 1
2
2
2
2
4 4
6
4 4
2 8. 169x - 225y = 18. 81a b - 16x y = 2
8
8
2
2
9. 36c - 9d =
19. 16x - y =
3 10. r s - 144 = 20. 12m n - 75p n = 3
2 2
2
2
4 4
5 Reasoning 5
6 Answer the following conditions using the given problem. 6
7 Melody factored 4x - 9(x + y) using difference of two squares by (7x + 9y)(11x - y). 7
2
2
8 a. Is her factor correct? 8
9 b. If yes, why? What is the correct factor? 9

c. If no, why?

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