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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 7 - Mathematics4.1 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 [(3a)3 + (3b)3] by (3a+3b).9a2+9ab+9b29a3-9ab+9b39a2-9ab+9b2 Q 2: Divide [(15a)3+(5b)3] by (15a+5b).225a2-75ab+25b2225a3-75ab+25b3225a2+75ab+25b2 Q 3: Divide [(6a)3+(5b)3] by (6a+5b).36a2+30ab+25b236a3-30ab+25b336a2-30ab+25b2 Q 4: Divide [(3a)3+(5b)3] by (3a+5b).9a2+15ab+25b29a2-15ab+25b29a3-15ab+25b3 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!