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### Grade 8 - Mathematics7.27 Special Products: a3+b3 = (a+b)(a2-ab+b2

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

Example:
Expand x3+27y3.
Solution:
Using above formula, Let a3 = x3 and b3 = 27y3 in the above equation
a3+b3& = x3+27y3
=(x)3+(3y)3
= (x+3y)(x2-3xy+9y2)

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Expand 27x3+125y3. (3x-5y)(9x2-15xy+25y2)(3x+5y)(9x2-15xy+25y2)(3x+5y)(9x2+15xy+25y2) Q 2: Expand x3+8y3.(x+3y)(x2-2xy+4y2)(x-3y)(x2-2xy+4y2)(x+3y)(x2+2xy+4y2) Q 3: Expand 27x3+8y3.(3x-2y)(9x2-6xy+4y2)(3x+2y)(9x2-6xy+4y2)(3x+2y)(9x2+6xy+4y2) Q 4: Expand x3+125y3.(x+5y)(x2-5xy+25y2)(x-5y)(x2-5xy+25y2)(x+5y)(x2+5xy+25y2) Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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