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miskamm [114]
3 years ago
11

Which products result in a sum or difference of cubes? Check all that apply. (x – 4)(x2 + 4x – 16) (x – 1)(x2 – x + 1) (x – 1)(x

2 + x + 1) (x + 1)( + x – 1) (x + 4)(x2 – 4x + 16) (x + 4)(x2 + 4x + 16)
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

(x – 1)(x^2 + x + 1) = x^3 - 1.

(x + 4)(x^2 - 4x + 16) = x^3 + 64.

Step-by-step explanation:

The identities are:

(a - b)(a^2 + ab + b^2) = a^3 - b^3   and

(a + b)(a^2 - ab + b^2) = a^3 + b^3

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\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

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