SOLUTION: simplify 3x^2+13x+4/x^2-4 divided by 4x+16/x+2 = 3x^2+13x+4/(x-2) x 1/4x+16 simplify a^1/2 x b^3/4 Simplify n sqrt a=a^x Simplfy 8^2x+3=2^a * b^x Simplify 3x*2^3x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify 3x^2+13x+4/x^2-4 divided by 4x+16/x+2 = 3x^2+13x+4/(x-2) x 1/4x+16 simplify a^1/2 x b^3/4 Simplify n sqrt a=a^x Simplfy 8^2x+3=2^a * b^x Simplify 3x*2^3x+2      Log On


   

Question 700717: simplify 3x^2+13x+4/x^2-4 divided by 4x+16/x+2
= 3x^2+13x+4/(x-2) x 1/4x+16
simplify a^1/2 x b^3/4
Simplify n sqrt a=a^x
Simplfy 8^2x+3=2^a * b^x
Simplify 3x*2^3x+2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!



factor: 3x%5E2%2B13x%2B4=%28x%2B4%29%283x%2B1%29 and x%5E2-4=%28x-2%29%28x%2B2%29









%283x%2B1%29%2F4%28x-2%29=+%28%28x%2B4%29%283x%2B1%29%28+x%2B64%29%29%2F4%28x-2%29+....if denominators same, nominators are same too, so, we can write
3x%2B1=+%28x%2B4%29%283x%2B1%29%28+x%2B64%29+
0=+%28x%2B4%29%283x%2B1%29%28+x%2B64%29-%283x%2B1%29+
%283x%2B1%29%28%28x%2B4%29%28+x%2B64%29-1%29
%283x%2B1%29%28x%5E2%2B64x%2B4x%2B256-1%29=0
%283x%2B1%29%28x%5E2%2B68x%2B255%29=0
solutions:
if 3x%2B1=0.....=>.....3x=-1...=>.....highlight%28x=-1%2F3%29


x%5E2%2B68x%2B255=0..use quadratic formula

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-68+%2B-+sqrt%28+68%5E2-4%2A1%2A255+%29%29%2F%282%2A1%29+

x+=+%28-68+%2B-+sqrt%284624-1020+%29%29%2F2+

x+=+%28-68+%2B-+sqrt%283604+%29%29%2F2+

x+=+%28-68+%2B-+sqrt%284%2A901+%29%29%2F2+

x+=+%28-68+%2B-+2sqrt%28901+%29%29%2F2+

x+=+%28-cross%2868%2934+%2B-+cross%282%29sqrt%28901+%29%29%2Fcross%282%29+

x+=+%28-34+%2B-+sqrt%28901+%29%29+
so, x+=+%28-34+%2B+sqrt%28901+%29%29+ or x+=+%28-34+-+sqrt%28901+%29%29+

since sqrt%28901%29≈ 30, we have
x+=+-34+%2B+3+
highlight%28x+=+-31%29+
or
x+=+-34+-30+
highlight%28x+=+-64%29++


simplify
a%5E%281%2F2%29+%2A+b%5E3%2F4...if you have this, than
sqrt%28a%29+%2A%28+b%5E3%2F4%29
but, if you have a%5E%281%2F2%29+%2A+b%5E%283%2F4%29, than
sqrt%28a%29+%2Aroot%284%2C+b%5E3%29


Simplify
n%2Asqrt%28a%29=a%5Ex...simplest form

Simplfy
8%5E2x%2B3=2%5Ea+%2A+b%5Ex.......I am not quite sure do you have 8%5E2x or 8%5E%282x%29

Simplify 3x%2A2%5E3x%2B2......same here,do you have 2%5E3x or 2%5E%283x%29