Scroll:Algebra >> find the product of the following >> ps (4209)


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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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

 

 

 

 



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