Rational Functions

Simplify

100

(x²+3x-28) / (x²+10x+21)

(x-4) / (x+3)

200

(3x²+x-2) / (9x²-4)

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

300

(x⁴-16) / (x²+5x+6)

(x-2)(x²+4) / (x+3)

400

(9x²+81x) / (x³+8x²-9x)

9 / (x-1)

500

(y²-3y-40) / (y²-11y+24)

(y+5) / (y-3)

Multiply

100

(4x²-4x)/(x²+x-42) * (x²+3x-28)/(4x)

(x-1)(x-4) / (x-6)

200

(x³+2x²)/(x-7) * (x²-5x-14)/(x³)

(x+2)² / x

300

(x²+5x-6)/(x²+6x+9) * (4x²+12x)/(x²-6x+5)

4x(x+6) / (x+3)(x-5)

400

(x²+7x+12)/(x²+8x+16) * (9x²+12x)/(3x²+9x)

(3x+4) / (x+4)

500

(2x²+7x-15)/(4x²-8x+3) * (2x²+x-1)/(x²+6x+5)

1

Divide

100

y¹⁰/(27x³y²) ÷ y⁸/3x⁴

x/9

200

(x²+x-6)/(x²+7x+6) ÷ (x²+2x-8)/(x²+3x-18)

(x+3)(x-3) / (x+1)(x+4)

300

(x²-2x-3)/(x+5) ÷ (x²+2x+1)

(x-3) / (x+5)(x+1)

400

(x²+5x-24)/(x²+x-20) ÷ (x²+10x+16)/(x²+9x+20)

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

500

(12x²-22x+8)/3x ÷ (3x²+2x-8)/(2x²+4x)

4(2x-1) / 3

Simplify or identify EV

100

Simplify & Identify EV(14x⁷y¹⁰)/(16x⁹y)

EV: x≠0, y≠0

200

Identify EV:

(x²+x-6) / (x²+7x+6)

EV: x≠-1, -6

300

Identify EV:

(9x²+81x) / (x³+8x²-9x)

EV: x≠0, 1, -9

400

Simplify:

(7a³)/(10b⁷) * (5b³)/(3a)

7a²/6b⁴

500

Simplify: 

(x²-y²) / (3x²+6xy+3y²)

(x-y)(x+y) / (3x+3y)(x+y)