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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.21 Formula for a3 + b3

Example: Divide (a3 + b3) by (a+b).
Solution:

     a2 - ab + b2

a + b | a3 + ....+....+ b3

a3 + a2b


  

    - a2b

      

    - a2b - ab2


ab2 + b3
ab2 + b3

 

0

Quotient = a2 - ab + b2.
Division Rule:  Dividend = Quotient * Divisor + Reminder.
a3 + b3 = (a2 - ab + b2)(a+b) + 0
 = (a2 - ab + b2)(a+b)
\a3 + b3 = (a2 - ab + b2)(a+b)

Directions: Solve the following division problems using above formula and show your work. Also write at least ten examples of your own.
Q 1: Divide [(15a)3+(5b)3] by (15a+5b).
225a2+75ab+25b2
225a3-75ab+25b3
225a2-75ab+25b2

Q 2: Divide [(3a)3 + (3b)3] by (3a+3b).
9a2+9ab+9b2
9a3-9ab+9b3
9a2-9ab+9b2

Q 3: Divide [(5a)3+(2b)3] by (5a+2b).
25a2-10ab+4b2
25a3-10ab+4b3
25a2+10ab+4b2

Q 4: Divide [(6a)3+(5b)3] by (6a+5b).
36a3-30ab+25b3
36a2-30ab+25b2
36a2+30ab+25b2

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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