⑴ [4a²b²(3b²-5ab)-a²(-2b)³]÷8a²
1个回答

(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