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Marina CMI [18]
3 years ago
13

Solve n^4-11n^2+30÷n^4-7n^2+10

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
Factor the numerator and denominator...

(n^4-5n^2-6n^2+30)/(n^4-2n^2-5n^2+10)

[n^2(n^2-5)-6(n^2-5)]/[n^2(n^2-2)-5(n^2-2)]

[(n^2-5)(n^2-6)]/[(n^2-5)(n^2-2)]  notice the (n^2-5)s cancel out

(n^2-6)/(n^2-2)  

We could further factor this because each is a difference of squares to:

[(n+√6)(n-√6)]/[(n+√2)(n-√2)
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Your Welcome

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