Simplifying Rational Expressions

(x²+11x+24)/(x²+4x-32)

• A.(x+7)/(x+4)
• B.3/4
• C.(x+3)/(x+4)
• D.(x+3)/(x-4)

20x³/(5x+10)

• A.4x³/(x+2)
• B.4x³/(x+10)
• C.2x³/(5x+1)
• D. 2x³/(x+5)

(-x-5)/(x²+12x+35)

• A. 1/(x+7)
• B. 1/(x-7)
• C. -1/(x+7)
• D. -1/(x+6)

(x³-9x)/(x²+10x+21)⋅(x²+7x)/(x²+2x-24)

• A.(2x)/(x+8)
• B. (x²)/(x+8)
• C. x/(x+4)
• D. x²(x-9)/(x+8)

(8x³y²)/(5x⁴y)÷(4y²)/(15x²y)

• A.(6y⁴)(x³)
• B. (12x)/(y²)
• C. 6xy²
• D. (32y⁴)/(75x³)

(6a)/(3a+15)⋅(4a+20)/(2a²)

• 4/a
• (a+5)
• 44/15
• (a+5)/(a+3)

(x²-6x-16)/(x²+4x-21)÷(x²+9x+14)/(x²-8x+15)

• (x-8)(x-5)
• (x-8)(x-5)/(x+7)(x+7)
• (x-4)(x-2)/(x+7)
• (x-5)/(x+7)

Find the excluded values
(9-x²)/(x²+6x+9)⋅(3x+9)/(3x-9)

• x≠ ±3
• x≠3
• x≠-3
• x≠ 1/3

Find the excluded values
(x+5)/(x-9)÷(x²+10x+25)/(x²-81)

• x≠±9
• x≠5,9
• x≠9
• x≠-9, 5

Find excluded values
(x²-6x-16)/(x²+4x-21)⋅(x²+7x)/(x²+5x-24)

• x≠ -7, -8, 3
• x≠ -7, 0, 3
• x≠ -8, 3
• x≠ -2, 0