which product will result in a sum or difference of cubes? (x 7)(x2 – 7x 14) (x 8)(x2 8x 64) (x – 9)(x2 9x 81) (x – 10)(x2 – 10x
100)
2 answers:
Hello,
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Answer C
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x^3+7^3=(x+7)(x²-7x+49) A: False (+14)
x^3+8^3=(x+8)(x²-8x+64) B:False (+8x)
x^3-10^3=(x-10)(x²+10x+100) D:False (-10x)
Answer:
option (3) satisfies the products that will result in a difference of cubes.

Step-by-step explanation:
Given : Some options.
We have to choose the products that will result in a sum or difference of cubes.
A sum or difference of cubes is given by:

and 
Thus, out of given
is in the same form as
where a = x and b = 9.
Thus, 
Thus, only option (3) satisfies the products that will result in a difference of cubes.
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