I would like Mathematica to simplify this expression:

$\left\{4 \left(16 \sqrt{\left(-1+2 c^2\right)^2}-32 c^2 \sqrt{\left(-1+2 c^2\right)^2}+\sqrt{\left(1-8 c^2+8 c^4\right)^2}\right)^2\right\}$

I have tried

PowerExpand[expression],
FullSimplify[expression],

where

expression = 4*( 16*Sqrt[(-1 + 2*c^2)^2] - 32*c^2*Sqrt[(-1 + 2*c^2)^2] 
                 + Sqrt[(1 - 8*c^2 + 8*c^4)^2])^2;

but they did not simplify expression.

I would like Mathematica to simplify this expression:

$4 \left(16 \sqrt{\left(-1+2 c^2\right)^2}-32 c^2 \sqrt{\left(-1+2 c^2\right)^2}+\sqrt{\left(1-8 c^2+8 c^4\right)^2}\right)^2$

expression = 4*( 16*Sqrt[(-1 + 2*c^2)^2] - 32*c^2*Sqrt[(-1 + 2*c^2)^2] 
                 + Sqrt[(1 - 8*c^2 + 8*c^4)^2])^2;

I have tried

PowerExpand[expression]

FullSimplify[expression]

but they did not simplify expression.

I would like Mathematica to simplify this expression:

$\left\{4 \left(16 \sqrt{\left(-1+2 c^2\right)^2}-32 c^2 \sqrt{\left(-1+2 c^2\right)^2}+\sqrt{\left(1-8 c^2+8 c^4\right)^2}\right)^2\right\}$

I have tried

PowerExpand[expression],
FullSimplify[expression],

where expression is

4*(16*Sqrt[(-1 + 2*c^2)^2] - 32*c^2*Sqrt[(-1 + 2*c^2)^2] + Sqrt[(1 - 8*c^2 + 8*c^4)^2])^2

but they did not simplify expression.

I would like Mathematica to simplify this expression:

$\left\{4 \left(16 \sqrt{\left(-1+2 c^2\right)^2}-32 c^2 \sqrt{\left(-1+2 c^2\right)^2}+\sqrt{\left(1-8 c^2+8 c^4\right)^2}\right)^2\right\}$

I have tried

PowerExpand[expression],
FullSimplify[expression],

where

expression = 4*( 16*Sqrt[(-1 + 2*c^2)^2] - 32*c^2*Sqrt[(-1 + 2*c^2)^2] 
                 + Sqrt[(1 - 8*c^2 + 8*c^4)^2])^2;

but they did not simplify expression.