Rational Expressions

Simplifying

100

Simplify 

(4x-20)/(x-5)

4, {5}

200

(8x+48)/(x^2-3x-54

8/(x-9), {9,-6}

300

(x^2+11x+10)/(x^2+8x-20)

(x+1)/(x-2), {2,-10}

400

(3x^2+18x+27)/(9x^3+45x^2+54x)

(x+3)/(3x(x+2)

500

(35x^2+25x-90)/(25x^3-40x^2+15x)

((7x-9)(x+2))/(x(x-1)(5x-3))

Multiplying

100

1/(k+3)*(7k+21)/4

7/4

200

(x^2+x-12)/(x-7)*(x-7)/(x+4)

x-3

300

(n+10)/(n^2+2n-80)*(n^2-64)/(3n+27)

(n+8)/(3(n+9)

400

(k^2-9k+20)/(k^2-6k+5)*(k^2-7k-30)/(k-4)

((k-10)(k+3))/(k-1)

500

(x^2+9x+20)/(3x^2+32x+45)*(15x^2+10x-25)/(5x-5)

((x+5)(x+4))/(x+9)

Dividing

100

12/(18m^4)-:9/(18m)

4/(3m^3)

200

(9x+36)/4-:(x+4)/(x+7

(9(x+7))/4

300

(x+9)/(x+6)-:(x^2-9x+18)/(18-3x-x^2

(-1(x+9))/(x-6

400

(n+10)/(n^2+12n+20)-:(n^2+4n-12)/(n^2-9n+14)

(n-7)/((n+2)(n+6)

500

(7x^2+34x-48)/(28x-32)-:(2x+2)/(2x^2+14x+12)

(x+6)^2/4

Adding

100

(7x - 2)/(6x) + (-3x + 1)/(x)

(-11x + 4)/(6x)

200

(3x)/(x - 3) + 5/(x^2 - 9)

(3x^2 + 9x + 5)/((x + 3)(x - 3))

300

(1)/(x^2 - 10x + 24) + (2x)/(x - 6)

(2x^2 -8x + 1)/((x-6)(x-4))

400

(2x)/(x-2) + (5x + 2)/(x + 5)

(7x^2 + 2x - 4)/((x - 2)(x + 5))

500

x/(x^2+4x-12)+(2x)/(x^2+x-6

(3x(x+5))/((x-2)(x+6)(x+3)

Subtracting

100

5 / (2x) - (x + 1) / (2x (x - 1))

(2x-3)/(x(x-1)

200

(4x)/(x^2-36)-(3)/(x+6

(x+18)/((x-6)(x+6))

300

3/(x^2+x-2)-2/(x^2+5x+6)

(x+11)/((x+2)(x-1)(x+3)

400

(1)/(x^2 - 10x + 24) - (2x)/(x - 6)

(-2x^2 + 8x + 1)/((x-6)(x-4))

500

(5x + 7)/(x - 2) - (1)/(x^2 - 9x + 14)

(5x^2 - 28x - 50)/((x - 2)(x - 7))

Complex Fractions

100

(2/x)/((5)/x^2

(2x)/5

200

(1+(3/(x-1)))/(2x-2)

(x+2)/(2(x-1)^2)

300

((x/(x-5))+(3/(x+2)))/((2x)/(x+2)

(x^2+5x-15)/(2x(x-5)

400

((5x)/(2x-1)-(1)/(2x+1))/((3x+4)/(4x^2-1)

(10x^2+3x+1)/(3x+4)

500

((3x)/(x+4)-(2/x))/(4/(x^2+x)

(3x^3+x^2-10x-8)/(4(x+4)