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Grade 8 - Mathematics
7.27 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.

Name: ___________________

Date:___________________

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

Q 1: Expand x3+8y3.
(x+3y)(x2-2xy+4y2)
(x-3y)(x2-2xy+4y2)
(x+3y)(x2+2xy+4y2)

Q 2: Expand 27x3+8y3.
(3x+2y)(9x2-6xy+4y2)
(3x+2y)(9x2+6xy+4y2)
(3x-2y)(9x2-6xy+4y2)

Q 3: Expand x3+64y3.
(x+4y)(x2-4xy+16y2)
(x+4y)(x2+4xy+16y2)
(x-4y)(x2-4xy+16y2)

Q 4: Expand x3+125y3.
(x+5y)(x2-5xy+25y2)
(x+5y)(x2+5xy+25y2)
(x-5y)(x2-5xy+25y2)

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Question 6: This question is available to subscribers only!


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