Rational Expressions RHS

Simplifying Rational Expressions

100

(30c^4)/(20c^4)

3/2

200

21/(7x+42)

3/(x+6)

300

(3g-27)/(6g-54)

1/2

400

(2y^2+4y-70)/(2y-10)

(y+7)

500

(z^2+13z+36)/(z^2+12z+32)

(z+9)/(z+8)

Adding Rational Expressions

100

(3x + 6h)/(8x^4) + (2x + 8h)/(8x^4)

(5x + 14h)/(8x^4)

200

(5r^2 + 6k)/(8r^3) + (2r^2 - 7k)/(8r^3)

(7r^2 - k)/(8r^3)

300

g/(g + 5) + 3/(8g + 1)

(8g^2 + 4g + 15)/((g + 5)(8g + 1))

400

(2b)/(5b + 6) + 9/(8b + 4)

(16b^2 + 53b + 54)/(4(5b + 6)(2b + 1))

500

(7p)/2 + (8p + 8)/(6p + 7)

(42p^2 + 65p + 16)/(2(6p + 7))

Subtracting Rational Expressions

100

(7z + 4)/(3z^3 + 17) - (2z)/(3z^3 + 17)

(5z + 4)/(3z^3 + 17)

200

(3d^4 + 5y^4)/(6d^6) - (2d^4 - 4y^4)/(6d^6)

(d^4 +9y^4)/(6d^6)

300

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

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

400

(8k)/(k + 7) - (11k-2)/(k^2+9k+14)

(8k^2 + 5 k + 2)/((k + 7)(k + 2))

500

(2d)/3 - (5d + 8)/(8d + 4)

(16d^2 - 7d - 24)/(12(2d + 1))

Multiplying Rational Expressions

100

(n-10)/(3n-2) * (27n-18)/(n-10)

9

200

2/(s - 7) * (9s + 99)/(s + 11)

18/(s - 7)

300

((c^2+10c+16))/(c + 2) * (2c-8)/((c - 4)(c + 2))

(2(c + 8))/(c + 2)

400

(r^2 + 13r + 12)/(2r + 24) * (r + 7)/(r^2+10r+21)

(r + 1)/ (2(r+3))

500

(4x^3+28x^2)/(x^2 + 14x + 49) * (x^2 + 5x - 36)/(2x^2+18x)

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

Dividing Rational Expressions

100

((8x^4)/(10x)) ÷ ((5x^2)/(9x^2))

(36x^3)/25

200

(6y)/(y + 10) ÷(12y^2-6y)/(2y + 20)

2/(2y-1)

300

(32s - 88)/3 ÷ (28s - 77)/(3s)

(8s)/7

400

(z + 12)/(z + 15z + 36) ÷(3z+36)/(z + 3)

1 / (3(z + 12))

500

(3p^2-15p)/(p+7)÷(2p^2-50)/(2p^2+15p+7)

(3p(2p+1))/(2(p+5))