Ask for help to write the specific calculation steps of the following mathematical formula.

1, using the square difference formula, completely flat expansion.

(a- 1/2)^2(a^2+ 1/4)^2(a+ 1/2)^2=(a- 1/2)^2 *(a+ 1/2)^2 *(a^2+ 1/4)^2

= (a 2-1/4) 2 * (a 2+1/4) 2 square difference formula

= (4-116) 2 square difference formula

= a 8- 1/8a 4+ 1/256 complete plane expansion

2. Take an m/a n = a (n-m) and disassemble the formula to calculate. This is the result.

(-3/4x^6y^3+6/5x^3y^4-9/ 10xy^5)/[3/5xy^3]

=[-3/4x^6y^3)]/[3/5xy^3]+[6/5x^3y^4]/[3/5xy^3]-[9/ 10xy^5)]/[3/5xy^3]

= ...

3. Merge similar projects

x^m- 1/2x^m+ 1- 1/5x^m+x^m+ 1-2x^m+ 1

= x^m- 1/5x^m- 1/2x^m+ 1+x^m+ 1-2x^m+ 1

=( 1- 1/5)x^m+(- 1/2+ 1-2)x^(m+ 1)

=4/5X^m- 3/2X^(m+ 1)