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) (8a2 - 10ab + 3b2) a3 a2b ab2 b3 Answer:_______________ |
| 2) Find the product of. (a + b) (2a2 - 14ab + 5b2) a3 a2b ab2 b3 Answer:_______________ |
| 3) Find the product of. (a + b) (2a2 - 17ab + 4b2) a3 a2b ab2 b3 Answer:_______________ |
| 4) Find the product of. (a + b) (2a2 - 12ab + 6b2) a3 a2b ab2 b3 Answer:_______________ |
| 5) Find the product of. (a + b) (8a2 - 13ab + 6b2) a3 a2b ab2 b3 Answer:_______________ |
| 6) Find the product of. (a + b) (2a2 - 10ab + 2b2) a3 a2b ab2 b3 Answer:_______________ |
| 7) Find the product of. (a + b) (4a2 - 14ab + 5b2) a3 a2b ab2 b3 Answer:_______________ |
| 8) Find the product of. (a + b) (5a2 - 14ab + 6b2) a3 a2b ab2 b3 Answer:_______________ |
| 9) Find the product of. (a + b) (3a2 - 10ab + 7b2) a3 a2b ab2 b3 Answer:_______________ |
| 10) Find the product of. (a + b) (6a2 - 15ab + 8b2) a3 a2b ab2 b3 Answer:_______________ |
| 1) Find the product of. (a + b) (8a2 - 10ab + 3b2) Answer: 8a3 Answer: -2a2b Answer: -7ab2 Answer: 3b3 SOLUTION 1 : By distributive property... = a(8a2) + a(-10ab) + a(3b2) + b(8a2) + b(-10ab) + b(3b2) = 8a3 - 10a2b + 3ab2 + 8a2b - 10ab2 + 3b3 = 8a3 - 10a2b + 8a2b + 3ab2 - 10ab2 + 3b3 = 8a3+ (-10 + 8) a2b + (3 - 10) ab2 + 3b3 = 8a3 -2a2b -7ab2 + 3b3
|
| 2) Find the product of. (a + b) (2a2 - 14ab + 5b2) Answer: 2a3 Answer: -12a2b Answer: -9ab2 Answer: 5b3 SOLUTION 1 : By distributive property... = a(2a2) + a(-14ab) + a(5b2) + b(2a2) + b(-14ab) + b(5b2) = 2a3 - 14a2b + 5ab2 + 2a2b - 14ab2 + 5b3 = 2a3 - 14a2b + 2a2b + 5ab2 - 14ab2 + 5b3 = 2a3+ (-14 + 2) a2b + (5 - 14) ab2 + 5b3 = 2a3 -12a2b -9ab2 + 5b3
|
| 3) Find the product of. (a + b) (2a2 - 17ab + 4b2) Answer: 2a3 Answer: -15a2b Answer: -13ab2 Answer: 4b3 SOLUTION 1 : By distributive property... = a(2a2) + a(-17ab) + a(4b2) + b(2a2) + b(-17ab) + b(4b2) = 2a3 - 17a2b + 4ab2 + 2a2b - 17ab2 + 4b3 = 2a3 - 17a2b + 2a2b + 4ab2 - 17ab2 + 4b3 = 2a3+ (-17 + 2) a2b + (4 - 17) ab2 + 4b3 = 2a3 -15a2b -13ab2 + 4b3
|
| 4) Find the product of. (a + b) (2a2 - 12ab + 6b2) Answer: 2a3 Answer: -10a2b Answer: -6ab2 Answer: 6b3 SOLUTION 1 : By distributive property... = a(2a2) + a(-12ab) + a(6b2) + b(2a2) + b(-12ab) + b(6b2) = 2a3 - 12a2b + 6ab2 + 2a2b - 12ab2 + 6b3 = 2a3 - 12a2b + 2a2b + 6ab2 - 12ab2 + 6b3 = 2a3+ (-12 + 2) a2b + (6 - 12) ab2 + 6b3 = 2a3 -10a2b -6ab2 + 6b3
|
| 5) Find the product of. (a + b) (8a2 - 13ab + 6b2) Answer: 8a3 Answer: -5a2b Answer: -7ab2 Answer: 6b3 SOLUTION 1 : By distributive property... = a(8a2) + a(-13ab) + a(6b2) + b(8a2) + b(-13ab) + b(6b2) = 8a3 - 13a2b + 6ab2 + 8a2b - 13ab2 + 6b3 = 8a3 - 13a2b + 8a2b + 6ab2 - 13ab2 + 6b3 = 8a3+ (-13 + 8) a2b + (6 - 13) ab2 + 6b3 = 8a3 -5a2b -7ab2 + 6b3
|
| 6) Find the product of. (a + b) (2a2 - 10ab + 2b2) Answer: 2a3 Answer: -8a2b Answer: -8ab2 Answer: 2b3 SOLUTION 1 : By distributive property... = a(2a2) + a(-10ab) + a(2b2) + b(2a2) + b(-10ab) + b(2b2) = 2a3 - 10a2b + 2ab2 + 2a2b - 10ab2 + 2b3 = 2a3 - 10a2b + 2a2b + 2ab2 - 10ab2 + 2b3 = 2a3+ (-10 + 2) a2b + (2 - 10) ab2 + 2b3 = 2a3 -8a2b -8ab2 + 2b3
|
| 7) Find the product of. (a + b) (4a2 - 14ab + 5b2) Answer: 4a3 Answer: -10a2b Answer: -9ab2 Answer: 5b3 SOLUTION 1 : By distributive property... = a(4a2) + a(-14ab) + a(5b2) + b(4a2) + b(-14ab) + b(5b2) = 4a3 - 14a2b + 5ab2 + 4a2b - 14ab2 + 5b3 = 4a3 - 14a2b + 4a2b + 5ab2 - 14ab2 + 5b3 = 4a3+ (-14 + 4) a2b + (5 - 14) ab2 + 5b3 = 4a3 -10a2b -9ab2 + 5b3
|
| 8) Find the product of. (a + b) (5a2 - 14ab + 6b2) Answer: 5a3 Answer: -9a2b Answer: -8ab2 Answer: 6b3 SOLUTION 1 : By distributive property... = a(5a2) + a(-14ab) + a(6b2) + b(5a2) + b(-14ab) + b(6b2) = 5a3 - 14a2b + 6ab2 + 5a2b - 14ab2 + 6b3 = 5a3 - 14a2b + 5a2b + 6ab2 - 14ab2 + 6b3 = 5a3+ (-14 + 5) a2b + (6 - 14) ab2 + 6b3 = 5a3 -9a2b -8ab2 + 6b3
|
| 9) 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
|
| 10) Find the product of. (a + b) (6a2 - 15ab + 8b2) Answer: 6a3 Answer: -9a2b Answer: -7ab2 Answer: 8b3 SOLUTION 1 : By distributive property... = a(6a2) + a(-15ab) + a(8b2) + b(6a2) + b(-15ab) + b(8b2) = 6a3 - 15a2b + 8ab2 + 6a2b - 15ab2 + 8b3 = 6a3 - 15a2b + 6a2b + 8ab2 - 15ab2 + 8b3 = 6a3+ (-15 + 6) a2b + (8 - 15) ab2 + 8b3 = 6a3 -9a2b -7ab2 + 8b3
|