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Grade 8 - Mathematics7.26 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 (x+3y)(x2-3xy+9y2).x3+27y3x3+9y33x3+27y3 Q 2: Find the product (x+2y)(x2-2xy+4y2).x3+4y32x3+8y3x3+8y3 Q 3: Find the product (3x+2y)(9x2-6xy+4y2).27x3+4y327x3+8y39x3+8y3 Q 4: Find the product (5x+2y)(25x2-10xy+4y2).25x3+8y3125x3+8y3125x3+4y3 Q 5: Find the product (4x+3y)(16x2-12xy+9y2).16x3+27y364x3+9y364x3+27y3 Q 6: Find the product (3x+y)(9x2-3xy+y2).27x3+3y327x3+y39x3+y3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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