Question

What is the factored form of ...

Answer 1

Answer:

(A) I think

Step-by-step explanation:

We you divide x12 and y18,12=4 y=6. Then you take +1 and change it to -1. It should bring you to answer A.

I hope I'm right and I hope this helps:)!

Answer 2

Answer:

The answer is A:

$(x^{4}y^{6} - 1)(x^{8}y^{12} - x^{4}y^{6} + 1)$

Step-by-step explanation:

To solve this question, first apply the exponent rule to the entire equation:

$x^{12}y^{18} + 1$

$= (x^{4}y^{6})^{3} + 1^{3}$

Next, we can apply the Sum of Cubes formula. To refresh your memory, the formula is as thus:

$x^{3} + y^{3} = (x + y)(x^{2} - xy + y^{2})$

So, let's apply this to the equation above:

$(x^{4}y^{6})^{3} + 1^{3}$

$= (x^{4}y^{6} + 1)((x^{4}y^{6})^{2} - x^{4}y^{6} + 1^{2})$

$= (x^{4}y^{6} + 1)((x^{4}y^{6})^{2} - x^{4}y^{6} + 1^{2})$

$= (x^{4}y^{6} - 1)(x^{8}y^{12} - x^{4}y^{6} + 1)$

Therefore, the answer is A.

Hope this helped!