Question

Use the sum of cubes identity to find the factors of the expression 8x6 + 27y3. Write your answer in the form of the expression on the right of the sum of cubes identity.

Answer 1

The Answer to this Question is:

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

This symbol ^ means that the number after is an exponent.

Answer 2

The required expression is given by $(2x^2+3y)(4x^4+9y^2-6x^2y)$

Use the sum of cubes identity
find the factors of the expression 8x6 + 27y3

What is cubic identity?

Cubic identity=
$a^3+b^3 = ( a + b )(a^2+b^2-ab)$

Now we have
$8x^6+27y^3\\(2x^2)^3+(3y)^3$
Now, putting in cubic identity.
it gives.
$(2x^2+3y)(4x^4+9y^2-6x^2y)$

Thus, above expression is required expression.

Learn more about cubic identity here:
https://brainly.com/question/9704094

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