Section
8-9
8-9
Simplify completely:
((12x^3y^-4)/(4x^-2y^4))^3
(27x^15)/y^24
Factor completely:
4a^2+12a-40
4(a+5)(a-2)
Solve the following quadratic equation:
3x^2=300
{-10,10}
Add the following rational expressions.
3/(y+3) + (2y)/(x^2+7x+12)
(5y+12)/((y+3)(y+4)
Solve. List all domain restrictions. Check.
5/(x^2-9)=3/(x-3)-2/(x+3)
Domain:
(-infty,-3)uu(-3,3)uu(3,infty)
x=-10
Factor:
12xy-28x-15y+35
(4x-5)(3y-7)
Factor completely:
125a^3-8
(5x-2)(25x^2+10x+4)
Find the domain for the following rational function, use interval notation:
f(x)=8/(3x+10)
(-infty,-10/3)uu(-10/3,infty)
Simplify:
(x/3-3/x)/(1/3+1/x)
x-3
Solve for a:
2/a-c=b
a=2/(b+c)
Simplify completely:
((5x^-3y)/(20xy^-5))^2
y^12/(16x^8)
Factor completely:
5xy^2-10xy+5x
5x(x-1)^2
or
5x(x-1)(x-1)
A rectangular parking lot has a length that is 4 meters longer than the width. The area of the lot is 77 square meters. What are the dimensions of the lot?
Solve the problem using a quadratic equation and draw a diagram that represents the problem.
width = 7 meters
length = 11 meters
Subtract the following rational expressions:
(6x-7)/(x^2+6x+5)-4/(x+5)
(2x-11)/((x+5)(x+1)
Solve. List all domain restriction and check.
12/(x^2+5x+6)-7/(x+3)=2/(x+2)
Domain:
(-infty,-3)uu(-3,-2)uu(-2,infty)
x=-8/9
Factor:
20ax-36bx-35ay+63by
(5a-9b)(4x-7y)
Factor:
27x^3+8y^3
(3x+2y)(9x^2-6xy+4y^2)
Solve the following quadratic equation:
4x^2-4x-3=0
{3/2,-1/2}
Simplify:
(1/5+1/x)/(x/5-5/x)
1/(x-5)
Solve for f:
1/p+1/q=1/f
f=(pq)/(p+q)
Factor completely:
5n^2+19n+12
(5n+4)(n+3)
Find the domain for the following rational function, use interval notation:
f(x)=2/(x^2-x-6)
(-infty,-2)uu(-2,3)uu(3,infty)
Solve, listing all domain restrictions. Check
2/(x-1) +2/(x+1)=4/(x^2-1)
Domain:
(-infty,-1)uu(-1,1)uu(1,infty)
No Solution