一.除法計算

1.-a³x³          2.x          3.4a²b⁶          4.-4x²y          5.16a²xb²          6.-6x²+5/4xy          7.64/15a²-28a³          8.-2x+1

二.長除法

a)餘式=-4 商式=x-2          b)餘式=1 商式=x²+2x-1          c)餘式=無 商式=x²-y²

三.因式分解

15m²n-10m²+5m=5m(3mn-2m+1)          -9x²y²-12xy³+3xy²=-3xy²(3x+4y-1)

a(x+y)-b(x+y)=(x+y)(a-b)                                a(b-a)-b(a-b)=(a-b)(-a-b)

a²m-b²m=m(a+b)(a-b)                                 64x²-16y²=16(2x+y)(2x-y)

-3x²+6xy-y³=-3(x-y)²                                        x²-16=(x²+4)(x+2)(x-2)

x⁴-16=(x²+4)(x+2)(x-2)                                   x²-2x(y+z)+(y+z)²=(x-y-z)²

四.已知......的值

[(x²+y²)-(x-y)²+2y(x-y)]/4y

解原式:=(x²+y²-x²+2xy-y²+2xy-2y²)/4y=(4xy-2y²)/4y=2

當2x-y=10時,原式=10/2=5