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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.28 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-4y)(x2+4xy+16y2).
x3+64y3
x3-64y3
x3-16y3

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

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

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

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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