计算;[5xy²(x²-3xy)+(3x²y²)³]÷(5xy)²=急.

问题描述:

计算;[5xy²(x²-3xy)+(3x²y²)³]÷(5xy)²=
急.

[5xy²(x²-3xy)+(3x²y²)³]÷(5xy)²
=
[5xy²(x²-3xy)+(3x²y²)³]
----------------------------------
(5xy)²
=
5xy²(x²-3xy) (3x²y²)³
------------------ + ------------
(5xy)² (5xy)²
=
5x³y² 15x²y³ (3x²y²)³
----------- -- ---------- + ------------
(5xy)² (5xy)² (5xy)²
=
(1/5)x-(3/5)y+3/5(x^4y^4)

原式=[5x^3y^2-15x^2y^3+27x^6y^6]/(25x^2y^2)
=(5x-15y+27x^4y^4)/25

[5xy²(x²-3xy)+(3x²y²)³]÷(5xy)²
=(5x³y²-15x²y³+27x^6y^6)÷(25x²y²)
=[(x²y²)(5x-15y+27x^4y^4)]÷(25x²y²)
=(5x-15y+27x^4y^4)÷25
=5分之1x-5分之3y+25分之27x^4y^4
x^4y^4表示x的4次方y的4次方