SOLUTION: Hi can someone please help me with this? Use the “difference of squares” rule to factor the following expression: 16x^4-121y^4

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Question 492108: Hi can someone please help me with this?
Use the “difference of squares” rule to factor the following expression:
16x^4-121y^4
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe the answer would be:

(4x^2 - 11y^2) * (4x^2 + 11y^2)

you will get:

16x^4 - 4x^2*11y^2 + 4x^2*11y^2 - 121y^4

the middle terms will cancel out and you will be left with:

16x^4 - 121y^4

this is the same as (a^2 - b^2) = (a-b) * (a+b)

you get a^2 - ab + ab - b^2 which results in a^2 - b^2 because the middle terms cancel out.