18. The difference of cubes identity will be used to determine the difference between 216 and 64, where
a^3-b^3=(a-b)(a^2+ab+b^2). What values of a and b should be used? (Select the two that apply)
A) a = 6 B) a = 10 C) a = 18 D) b = 4 E) b = 8

Respuesta :

Values of a and b should be used is a = 6 and b = 4 so Option A and Option D.

Given:

The difference of cubes identity will be used to determine the difference between 216 and 64.

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

a^3 - b^3 = 216 - 64 = [tex]6^{3} -4^{3}[/tex] = 152.

On comparing a = 6 and b = 4.

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

= (6-4)(6^2+6*4+4^2)

= 2(36+24+16)

= 2(76)

= 152.

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

Therefore values of a and b should be used is a = 6 and b = 4 so Option A and Option D.

Learn more about the cubes identity here:

https://brainly.com/question/16742114

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