Create an image that visually represents the process of simplifying a rational expression in mathematics. The image could feature symbolic elements such as whirls of numbers and mathematical formulas intertwined. Show brackets and fraction lines, mathematical operations symbols like plus, minus, and square root sign and also a couple of 'n' variables at different positions forming a rational expression pattern. Implement an abstract, mathematical, and intriguing style while maintaining an academic appeal. Note that there should be no text present.

Simplify the rational expression. State any restrictions on the variable.

(n^4-11n^2+30)/(n ^4 -7n^2+10)

My answer is

n^2-6/n^2-2 except +-sqrt5 and +-sqrt2

Solving Rational Equations Quiz Part 1:

(Regular course)
1.c. n^2-6/n^2-2 ; n = +/- sqrt5, n= +/- sqrt2
2.B. 4a/7b^2 , a = 0, b = 0
3.C. (x-4)^2/(x+3)(x+1) ; x= -4,-3,-2,-1,4
4.B. (x+1)(x-1)(x^2+1)
5.A. 7a-49/(a-8)(a+8)
6.A. 21a-28/(A-6)(a+8)
7.C. 4x/3x^2+10x+3
8.C. 3x^2(y+4)/7y
9.D. -11/3
10.D. 14
11. D. 9 mi/h downstream, 6 mi/h upstream
We're using our resources to pass, no shame in that gang ♡

Here's the answers for those taking advanced!

1) C. n^2-6/n^2-2 ; n ≠ +/- sqrt5, n= +/- sqrt2
2) C. (x-4)^2/(x+3)(x+1); x ≠ -4, -3, -2, -1, 4
3) A. 7a-49/(a-8)(a+8)
4) A. 21a-28/(a-6)(a+8)
5) C. 4x/3x^2+10x+3
6) D. -11/3
7) A. -4
8) D. 9 mi/h downstream; 6 mi/h upstream

Good luck guys!

(n^4-11n^2+30)/(n ^4 -7n^2+10)

numberator roots:
n^2=11+-sqrt(121-120) /2
=11+-1 /2= 6,5
(n^2-6)(n^2-5)
roots of denominator (by insptection,5,2
(n^2-5)(N^2-2)

so you are left with (n^2-6)/(n^2-2)

you are correct

Random sophomore is right. thank you

just a random sophomore appreciation post

Thank you very much

np :)

i wonder if posting all the answers gets you good or bad karma

Random sophomore thank you

Kkzden is right I got a 100%