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What is the factored form of ...

What is the factored form of ...-example-1
User Menapole
by
8.1k points

2 Answers

6 votes

Answer:

The answer is A:


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

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!

User Yogesh Mistry
by
7.8k points
4 votes

Answer:

(A) I think

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:)!

User Cemen
by
8.6k points

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