## anonymous one year ago I will fan and medal! simplify: ((a^4)/(2a^2-4a^4))*((8a^3+1)/(2a+4a^2))

1. anonymous

ugh i wish you had typed it out properly :(

2. anonymous

you have a calculator?

3. jim_thompson5910

@Jdosio $\Large \frac{a^4}{2a^2-4a^4} \times \frac{8a^3+1}{2a+4a^2}$

4. anonymous

or go to www.mathway.com then type in this equation and hit solve

5. welshfella

try factoring the individual expressions first

6. anonymous

if you have any choices that would help too.

7. jim_thompson5910

hint: factor $\Large \frac{a^4}{2a^2-4a^4} \times \frac{8a^3+1}{2a+4a^2}$ $\Large \frac{a^4}{2a^2(1-2a^2)} \times \frac{(2a+1)(4a^2-2a+1)}{2a(1+2a)}$

8. jim_thompson5910

I used the sum of cubes formula to factor $$\Large 8a^3 + 1$$

9. welshfella

you can now cancel out the 2a + 1 on the right most fraction and the left one simplifies to a^2 ------ 2(1 - 2a^2)