Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1) Find the product of. (a + b) (6a2 - 11ab + 4b2) a3 a2b ab2 b3 Answer:_______________ |
2) Find the product of. (a + b) (4a2 - 17ab + 6b2) a3 a2b ab2 b3 Answer:_______________ |
3) Find the product of. (a + b) (6a2 - 13ab + 8b2) a3 a2b ab2 b3 Answer:_______________ |
4) Find the product of. (a + b) (3a2 - 15ab + 4b2) a3 a2b ab2 b3 Answer:_______________ |
5) Find the product of. (a + b) (6a2 - 13ab + 6b2) a3 a2b ab2 b3 Answer:_______________ |
6) Find the product of. (a + b) (3a2 - 10ab + 7b2) a3 a2b ab2 b3 Answer:_______________ |
7) Find the product of. (a + b) (6a2 - 12ab + 8b2) a3 a2b ab2 b3 Answer:_______________ |
8) Find the product of. (a + b) (5a2 - 10ab + 7b2) a3 a2b ab2 b3 Answer:_______________ |
9) Find the product of. (a + b) (6a2 - 11ab + 8b2) a3 a2b ab2 b3 Answer:_______________ |
10) Find the product of. (a + b) (6a2 - 16ab + 5b2) a3 a2b ab2 b3 Answer:_______________ |
1) Find the product of. (a + b) (6a2 - 11ab + 4b2) Answer: 6a3 Answer: -5a2b Answer: -7ab2 Answer: 4b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-11ab) + a(4b2) + b(6a2) + b(-11ab) + b(4b2) = 6a3 - 11a2b + 4ab2 + 6a2b - 11ab2 + 4b3 = 6a3 - 11a2b + 6a2b + 4ab2 - 11ab2 + 4b3 = 6a3+ (-11 + 6) a2b + (4 - 11) ab2 + 4b3 = 6a3 -5a2b -7ab2 + 4b3
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2) Find the product of. (a + b) (4a2 - 17ab + 6b2) Answer: 4a3 Answer: -13a2b Answer: -11ab2 Answer: 6b3 SOLUTION 1 : By distributive property... = a(4a2) + a(-17ab) + a(6b2) + b(4a2) + b(-17ab) + b(6b2) = 4a3 - 17a2b + 6ab2 + 4a2b - 17ab2 + 6b3 = 4a3 - 17a2b + 4a2b + 6ab2 - 17ab2 + 6b3 = 4a3+ (-17 + 4) a2b + (6 - 17) ab2 + 6b3 = 4a3 -13a2b -11ab2 + 6b3
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3) Find the product of. (a + b) (6a2 - 13ab + 8b2) Answer: 6a3 Answer: -7a2b Answer: -5ab2 Answer: 8b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-13ab) + a(8b2) + b(6a2) + b(-13ab) + b(8b2) = 6a3 - 13a2b + 8ab2 + 6a2b - 13ab2 + 8b3 = 6a3 - 13a2b + 6a2b + 8ab2 - 13ab2 + 8b3 = 6a3+ (-13 + 6) a2b + (8 - 13) ab2 + 8b3 = 6a3 -7a2b -5ab2 + 8b3
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4) Find the product of. (a + b) (3a2 - 15ab + 4b2) Answer: 3a3 Answer: -12a2b Answer: -11ab2 Answer: 4b3 SOLUTION 1 : By distributive property... = a(3a2) + a(-15ab) + a(4b2) + b(3a2) + b(-15ab) + b(4b2) = 3a3 - 15a2b + 4ab2 + 3a2b - 15ab2 + 4b3 = 3a3 - 15a2b + 3a2b + 4ab2 - 15ab2 + 4b3 = 3a3+ (-15 + 3) a2b + (4 - 15) ab2 + 4b3 = 3a3 -12a2b -11ab2 + 4b3
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5) Find the product of. (a + b) (6a2 - 13ab + 6b2) Answer: 6a3 Answer: -7a2b Answer: -7ab2 Answer: 6b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-13ab) + a(6b2) + b(6a2) + b(-13ab) + b(6b2) = 6a3 - 13a2b + 6ab2 + 6a2b - 13ab2 + 6b3 = 6a3 - 13a2b + 6a2b + 6ab2 - 13ab2 + 6b3 = 6a3+ (-13 + 6) a2b + (6 - 13) ab2 + 6b3 = 6a3 -7a2b -7ab2 + 6b3
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6) Find the product of. (a + b) (3a2 - 10ab + 7b2) Answer: 3a3 Answer: -7a2b Answer: -3ab2 Answer: 7b3 SOLUTION 1 : By distributive property... = a(3a2) + a(-10ab) + a(7b2) + b(3a2) + b(-10ab) + b(7b2) = 3a3 - 10a2b + 7ab2 + 3a2b - 10ab2 + 7b3 = 3a3 - 10a2b + 3a2b + 7ab2 - 10ab2 + 7b3 = 3a3+ (-10 + 3) a2b + (7 - 10) ab2 + 7b3 = 3a3 -7a2b -3ab2 + 7b3
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7) Find the product of. (a + b) (6a2 - 12ab + 8b2) Answer: 6a3 Answer: -6a2b Answer: -4ab2 Answer: 8b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-12ab) + a(8b2) + b(6a2) + b(-12ab) + b(8b2) = 6a3 - 12a2b + 8ab2 + 6a2b - 12ab2 + 8b3 = 6a3 - 12a2b + 6a2b + 8ab2 - 12ab2 + 8b3 = 6a3+ (-12 + 6) a2b + (8 - 12) ab2 + 8b3 = 6a3 -6a2b -4ab2 + 8b3
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8) Find the product of. (a + b) (5a2 - 10ab + 7b2) Answer: 5a3 Answer: -5a2b Answer: -3ab2 Answer: 7b3 SOLUTION 1 : By distributive property... = a(5a2) + a(-10ab) + a(7b2) + b(5a2) + b(-10ab) + b(7b2) = 5a3 - 10a2b + 7ab2 + 5a2b - 10ab2 + 7b3 = 5a3 - 10a2b + 5a2b + 7ab2 - 10ab2 + 7b3 = 5a3+ (-10 + 5) a2b + (7 - 10) ab2 + 7b3 = 5a3 -5a2b -3ab2 + 7b3
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9) Find the product of. (a + b) (6a2 - 11ab + 8b2) Answer: 6a3 Answer: -5a2b Answer: -3ab2 Answer: 8b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-11ab) + a(8b2) + b(6a2) + b(-11ab) + b(8b2) = 6a3 - 11a2b + 8ab2 + 6a2b - 11ab2 + 8b3 = 6a3 - 11a2b + 6a2b + 8ab2 - 11ab2 + 8b3 = 6a3+ (-11 + 6) a2b + (8 - 11) ab2 + 8b3 = 6a3 -5a2b -3ab2 + 8b3
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10) Find the product of. (a + b) (6a2 - 16ab + 5b2) Answer: 6a3 Answer: -10a2b Answer: -11ab2 Answer: 5b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-16ab) + a(5b2) + b(6a2) + b(-16ab) + b(5b2) = 6a3 - 16a2b + 5ab2 + 6a2b - 16ab2 + 5b3 = 6a3 - 16a2b + 6a2b + 5ab2 - 16ab2 + 5b3 = 6a3+ (-16 + 6) a2b + (5 - 16) ab2 + 5b3 = 6a3 -10a2b -11ab2 + 5b3
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