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09-07-2019
Mathematics

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Factor the polynomial expression 27x3−8 27 x 3 − 8 .

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wegnerkolmp2741o wegnerkolmp2741o

09-07-2019

Answer:

(3x-2) (9x^2 + 6x +4)

Step-by-step explanation:

27x^3−8

This is the difference of cubes

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

a^3 =27x^3 so a = 3x

b^3 =8 so b=2

a^2 = (3x)^2 = 9x^2 ab = (3x)*2 = 6x b^2 = 2^2 =4

27x^3 -8 = (3x-2) (9x^2 + 6x +4)

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