x 2a y 2b 15 x 2 2xy y 2 9 II A 1 a 2 ay y 2 2 9x 2 3bx b 2 3 a 2 5ay 25y 2 4

# X 2a y 2b 15 x 2 2xy y 2 9 ii a 1 a 2 ay y 2 2 9x 2

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x2a- y2b15. x2 + 2xy + y2 - 9 II. A. 1. a2- ay + y22. 9x2- 3bx + b23. a2+ 5ay + 25y24. 2x + y 5. 2x + 3y B. 1. x3+ c3d32. 8a3- y33. 729x3+ 8 4. 64w3- 27t3c35. (x + y)3+ 1 Lesson 6 I. A. 1. a 2. 4xy 3. (5x + 3y)2B. 1. d(x + y + z) 2. 4xy(x2y - 2x - 42) 3. (5t2- 3d) (5t2+ 3d) 4. (11s2t - 12d2t3) (11s2t + 12d2t3)
84 5. (x - y) (x + y) (x2+ xy + y2) (x2- xy + y2)6. (5mn - 4td) (5mn - 4td) 7. (6ab2+ 7d) (6ab2+ 7d) 8. (3xn- 2yn) (xn+ 7yn) 9. (2x + 5y) (7x - 3y) 10. (a2+ 2ab + 2b2) (a2 + 2b2) 11. (a - m) (a + m) (y - b) (y + b) 12. (x + 1)(x2 - x + 1)(x - y)(x + y) 13. (x - y + a) (x - y - a) 14.(x - 7y) (x + 6y) 15.(x2+ 2x + 5) (x2- 2x + 5) (SEE NOS. 4, 5 & 6 OF “INSTRUCTIONS TO THE STUDENT”)
85 Name: ____________________________________ Student No.: _______________ Mailing Address: _______________________________________________________ Telephone No.: ___________________________ Date Submitted: _______________ Mathematics 1 Module II MODULE TEST I. A. Fill in the blanks with the correct word or group of words. Write your answer on the blank before each number. _______1. In the problem ax+ ay + 4az = a (x + y + z) we call a a ____ . _______2. In factoring, a2- b2is a _____ . _______3. The algebraic expression 9x2+ 6xy + y2is a _______4. _____ and is the product of the trinomial square ____ . _______5. To get a product of (x3+ y3), we multiply (x + y) with ___ . II. A. Special Products: Find the product of the following using special products: 1. 3x(m + n + y - z) = _______ 2. -4x3y8(-10x7y11- 7x11y8- 4x7y10 c) = ______ 3. (4x - 9y) (4x + 9y) = _______ 4. x3y24x3y+24= _________ 5. (3x - 11y) (3x - 11y) = _________ 6. (7x2+ 5y) (7x2+ 5y) = ______ 7. (x + 9) (x - 2) = _______ 8. (3x + 7y) (2x - 5y) = _______
86 9. (a + b) (a2- ab + b2) = ______ 10. (3x + 4y) (9x2- 12xy + 16y2) = ______ 11. [(2x + 3y) +1] [(2x + 3y)2- (2x + 3y) +1] = _______ B. Factor the following (factors must be prime): 1. 2ax + 2ay -4az = _______ 2. 9x2-16y2= _______ 3. 36a4b2c2- 49d2s2= ______ 4. 22x9y916= __________ 5. x2- 12xy + 36y2= ______ 6. 9x2- 30xy + 25y2= ______ 7. 10x2+ 7xy 12y2=____________ 8. 45a2-17ab - 6b2= ____________ 9. 27y3+ 64a3b3c3= ____________ 10. 64x3- y3= __________________ 11. 27y3- a3b3= _________________ 12. x4+ 4t4= ___________________ 13. a2m2- b2m2- a2n2+ b2n2= ______ 14. a2x3- x3b2- a2y3+ y3b2= _______ 15. x4 + 6x2 + 25 = _______________ 16. x2- xy - 42y2= _______________ 17. 25x3- 70x2b + 49xb2= _________ 18. a3b2- y3b2- a3m2+ y3m2= ______ 19. x2-2xy + y2 a2= _____________
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