(1)[4a²b²(3b²-5ab)-a²(-2b)³]÷8a²b³
=(12a²b^4-20a³b³-8a²b³)÷8a²b³
=3/2b-5/2a-1
(2)(5×10^5)•(-6×10^-2)÷(-1/2×10^-2)
=500000·-0.06÷-0.005
=6000 000
=6×10^6
(3) [(1/2x+y)²-﹙1/2x-y﹚²]÷(-4xy)
=(1/2x+y+1/2x-y)【1/2x+y-(1/2x-y)】÷(-4xy)
= X·2Y÷(-4xy)
=2XY/-4XY
=-1/2
(4)[(3x+y)²-y(3x+y)]÷(-3x) ,其中x=1/3,y=-1/2
=(9x^2+6xy+y^2 -3xy-y^2)÷(-3x)
=(9x^2+3xy)÷(-3x)
∵x=1/3,y=-1/2
∴-3x-y =-3×1/3+1/2
=-1/2
⑸ ﹙-2a﹚²﹙3b-a²﹚+﹙2a-b﹚﹙b+2a﹚+(-2a²-b)²,其中a=-1/2,b=-2
=4a²﹙3b-a²﹚+4a²-b²+4a^4+4a²b+b²
=12 a²b-4a^4+4a²-b²+4a^4+4a²b+b²
=16a²b +4a²
=16×(-1/2)²×(-2) +4×(-1/2)²
=-8+1
=-7