Which products result in a sum or difference of cubes? Check all that apply.


A=(x – 4)(x2 + 4x – 16)

B=(x – 1)(x2 – x + 1)

C=(x – 1)(x2 + x + 1)

D=(x + 1)( + x – 1)

E=(x + 4)(x2 – 4x + 16)

F=(x + 4)(x2 + 4x + 16)



Sum of cubes:

(a + b)(a2 – ab + b2) = a3 + b3

Difference of cubes:

(a – b)(a2 + ab + b2) = a3 – b3

Verified Answer :

C and E.
Formulas for sum of cubes and difference of cubes are:
a^3 + b^3 = (a + b) (a^2 - ab + b^2)
a^3 - b^3 = (a - b) (a^2 + ab + b^2)
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So, when you check each A, B, C, D, E, F, you can see that ONLY C and E satisfy the operators in both first and second parentheses.

Answer:

if you're from edge, the answer is C and E

Step-by-step explanation: