Enter the correct answer in the box. Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3

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Mathematics

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9 January, 01:57

Enter the correct answer in the box. Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3

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Yareli Gibson · Answer 1

Yareli Gibson 9 January, 04:24

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Julie Adkins · Answer 2

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

Step-by-step explanation:

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

Comparing this with the sum in the question:

a = 2x^2 and b = 3y so we have:

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

= (2x^2 + 3y) (4x^4 - 6x^2y + 9y^2).