(1)(﹣4a 5b 3) 2÷(8a 2b 3)÷(﹣53a 2),
=16a 10b 6÷(8a 2b 3)÷(﹣53a 2),
=2a 8b 3?(﹣53a 2),
=﹣106a 10b 3;
(2)(x+2) 2﹣(x+3)(x﹣3),
=(x 2+4x+4)﹣(x 2﹣9),
=x 2+4x+4﹣x 2+9,
=4x+13;
(3)[(2x+1)(4x+2)﹣2]÷(﹣8x),
=(8x 2+8x+2﹣2)÷(﹣8x),
=(8x 2+8x)÷(﹣8x),
=﹣x﹣1;
(4)[(2x﹣y) 2+(2x+y)(2x﹣y)+8xy]÷2x,
=(4x 2﹣4xy+y 2+4x 2﹣y 2+8xy)÷2x,
=(8x 2+4xy)÷2x,
=4x+2y,
当x=﹣3,y=2时,原式=4×(﹣3)+2×2=8.