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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+9y33x3+27y3x3+27y3 Q 2: Find the product (3x+y)(9x2-3xy+y2).9x3+y327x3+y327x3+3y3 Q 3: Find the product (2x+y)(4x2-2xy+y2).8x3+2y34x3+y38x3+y3 Q 4: Find the product (x+2y)(x2-2xy+4y2).x3+4y3x3+8y32x3+8y3 Q 5: Find the product (3x+2y)(9x2-6xy+4y2).9x3+8y327x3+4y327x3+8y3 Q 6: Find the product (5x+2y)(25x2-10xy+4y2).125x3+4y3125x3+8y325x3+8y3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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