Question

Simplify the rational expression. State any restrictions on the variable
n^4-10n^2+24/ n^4-9n^2+18

Answer 1

\[\frac{n^4-10n^2+24 }{ n^4-9n^2+18 }\]

Answer 2

@$w3G_Godd

Answer 3

n^4−10n^2+24


partially factors to

(n^2−6)(n^2−4)


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n^4−9n^2+18


factors to

(n^2−6)(n^2−3)


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so

n^4−10n^2+24/n^4−9n^2+18


is the same as

(n^2−6)(n^2−4)/(n^2−6)(n^2−3)

Answer 4

the n^2 - 6 terms will cancel

Answer 5

leaving you with

n^2−4/n^2−3

Answer 6

basically n can't equal sqrt(6), -sqrt(6), sqrt(3), -sqrt(3)

those 4 values make the denominator equal to zero, so they are the restrictions

Answer 7

thanks :)

Answer 8

np :)