By opening the bracket applying the formula of (a+b)^2 by solving rest you will get the equation which can be factorised
50x^2 - 2(x-2)^2
=50x^2 - 2( x^2 - 4x + 4)
=50x^2 - 2x^2 + 8x - 8
=48x^2 +8x - 8
=48x^2 + 24x - 16x - 8
=24x(2x+1) - 8(2x+1)
=(2x+1)(24x - 8)