Algebra 1.
posted by Elton .
Factor:
50r^8 – 32r^2
The caret symbol represents a power.
2r^2(25r^6+16)=
2r^{2}(25r^{6}+16)
DrBob222 forgot a minus sign:
50r^8 – 32r^2 =
2r^2(25r^6  16)
Then, inside the brackets, you see a difference of two squares:
25r^6  16 = X^2  Y^2
with X = 5 r^3 and Y = 4
You can then simplify this using
X^2  Y^2 = (X + Y)(X  Y) >
25r^6  16 = (5 r^3 + 4)(5 r^3  4)
You can factor each of these factors further by finding one of the roots.
5 r^3 + 4 = 0 >
r = (4/5)^(1/3)
This means that you can divide
5 r^3 + 4 by [r + (4/5)^(1/3)] to obtain a quadratic term. In case of the other factor you find the root
r = (4/5)^(1/3) and you can thus divide the term by [r (4/5)^(1/3)] to find a quadratic factor.
Thanks to Count Iblis for catching my error. I got so carried away with trying to make the exponents look good that I simply read a minus sign but typed a + sign. Such is old age, bad eyes, and an elevator that doesn't go all the way to the top.
Respond to this Question
Similar Questions

Property of logarithms
Using property of logarithms, how do I prove derivative of ln(kx) is 1/x First observe that ln(kx) = ln(k) + ln(x) then take derivatives. The ln(k) is simply a constant so it goes away. You could also derive it as d/dx ln(kx) = 1/kx … 
Math
If a^3 = x^2 what is a^2y+1 = x^6, solving for y You would have (x 2 ) 3 = x 6 = a 9 so 9 = 2y+1 Do you see why? 
Derivatives
What is the fourth derivative of f(x)= e^x^2. I got f''(x)=2e^x^2 + 4x^2e^x^2 i need some help on find f''''(x) You have f(x) = e x 2 then f'(x) = 2x*e x 2 = 2x*f(x) f"(x) = (4x 2  2))e x 2 = f(x)*(4x 2  2)) f"'(x)= f'(x)*(4x … 
Powers in Math
(5a^3b^4)^2=? *I don't get this one...PLease Help! (5a 3 b 4 ) 2 = (5) 2 *(a 3 )3 2 *(b 4 ) 2 = 25*a 6 b 8 I hope this turns out right. With all of these exponents it is easy to forget to turn them off and or to put parentheses in 
math exponents
x to the  power x to the fraction power x to the fraction power how are they different? 
algebra2 plzz help
how do you solve these problems (5x)to the power of a+4(5x)to the power of a2 3 to the power of 5 times xto the power of y+4 divided by 9 times x to the power of y factor 5a a2 , which is the greatest common factor, out. 5a a2 (25x … 
mathvolume
I'm confused with how to solve this problem, so help would be great! The volume of any spherical balloon can be found by using the formula V= 4/3 pi r^3. Write an equation for r in terms of V and pi 4/3*pi*r 3 = V Multiply by 3 3*(4/3)*pi*r … 
math2
5y^8125 *you have to factor completley easy. Take out the five: 5(y^825) Now, isnt y 8 the same as y 4 ) 2 ? 
help
Y^3Y/Y^2 If you post with the correct word in the Subject line, you'll usually get help faster. Y^6 Move the denominator to the top.. y 3 Y 1 y +2 = y 3+1+2 
mat 117/ algebra
My question is about scientific notations. Here is the problem. What I need clarification on is the power signs. When to add, subtract or multiply?