Perform the indicated operation and simplify?

x^2-25

_________

x^3-4x^2-5x

Please show work

times

x^2 +x

________

1 - x^2

2.

x^2

______

2x^2 +5x -3

+

x^2

______

2x^2 -5x +2

Perform the indicated operation and simplify?musicals

(x^2-25) / (x^3-4x^2-5x)

= (x-5)(x+5) / [x(x^2-4x-5)]

= (x-5)(x+5) / [x(x-5)(x+1)]

= (x+5) / [x(x+1)]

(x^2+x) / (1-x^2)

= x(x+1) / [-1(x-1)(x+1)]

= -x/(x-1)

x^2 / (2x^2+5x-3) + x^2 / (2x^2-5x+2)

= x^2 / [(2x-1)(x+3)] + x^2 / [(2x-1)(x-2)]

= x^2(x-2) / [(2x-1)(x+3)(x-2)] + x^2(x+3) / [(2x-1)(x+3)(x-2)]

= (x^3-2x^2) / [(2x-1)(x+3)(x-2)] + (x^3+3x^2) / [(2x-1)(x+3)(x-2)]

= (x^3-2x^2 +x^3+3x^2) / [(2x-1)(x+3)(x-2)]

= (2x^3+x^2) / [(2x-1)(x+3)(x-2)]

= x^2(2x+1) / [(2x-1)(x+3)(x-2)]