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Grade 8 - Mathematics
7.26 Special Products: (a+b)(a2-ab+b2) = a3+b3

Formula : (a+b)(a2-ab+b2) = a3+b3

Example:
Find the product (2x+3y)(4x2-6xy+9y2) .
Solution:
Using above formula, Let a = 2x and b = 3y in the above equation
(a+b)(a2-ab+b2)  = (2x+3y)(4x2-6xy+9y2)
= (2x)3+(3y)3
= 8x3+27y3


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Find the product (3x+2y)(9x2-6xy+4y2).
27x3+8y3
27x3+4y3
9x3+8y3

Q 2: Find the product (2x+y)(4x2-2xy+y2).
4x3+y3
8x3+y3
8x3+2y3

Q 3: Find the product (x+2y)(x2-2xy+4y2).
x3+8y3
x3+4y3
2x3+8y3

Q 4: Find the product (5x+3y)(25x2-15xy+9y2).
125x3+3y3
125x3+27y3
25x3+27y3

Q 5: Find the product (3x+y)(9x2-3xy+y2).
9x3+y3
27x3+3y3
27x3+y3

Q 6: Find the product (5x+2y)(25x2-10xy+4y2).
25x3+8y3
125x3+4y3
125x3+8y3

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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