化简整式,看下面1、3(-ab+2a)-(3a-b)+3ab2、2a^2-[0.5(ab-a^2)+8ab]-0.5ab
1个回答

解1:3(-ab+2a)-(3a-b)+3ab

=3×(-ab)+3×2a-3a+b+3ab

=-3ab+6a-3a+b+3ab

=(-3ab+3ab)+(6a-3a)+b

=3a+b

解2:2a²-[0.5(ab-a²)+8ab]-0.5ab

=2a²-(0.5ab-0.5a²+8ab)-0.5ab

=2a²-0.5ab+0.5a²-8ab-0.5ab

=(2a²+0.5a²)+(-0.5ab-8ab-0.5ab)

=2.5a²-9ab

解3:7x²-5x+3-2x+3x²-5

=(7x²+3x²)+(-5x-2x)+(3-5)

=10x²-7x-2

解4:-2(xy-3y²)-[2y²-5(xy+x²)+2xy]

=-2xy+6y²-(2y²-5xy-5x²+2xy)

=-2xy+6y²-2y²+5xy+5x²-2xy

=5x²+(6y²-2y²)+(-2xy+5xy-2xy)

=5x²+4y²+xy

解二

(1)原式=(4a+3a²-3+3a³)-(-a+4a³)

=4a+3a²-3+3a³+a-4a³

=(3a³-4a³)+3a²+(4a+a)-3

=-a³+3a²+5a-3

当a=-2时

原式=-(-2)³+3×(-2)²+5×(-2)-3

=-(-8)+3×4-10-3

=8+12-13

=7

(2)原式=(2x²y-2xy²)-[(-3x²y²+3x²y)+(3x²y²-3xy²)]

=2x²y-2xy²-(-3x²y²+3x²y+3x²y²-3xy²)

=2x²y-2xy²+3x²y²-3x²y-3x²y²+3xy²

=(2x²y-3x²y)+(-2xy²+3xy²)+(3x²y²-3x²y²)

=-x²y+xy²

=xy²-x²y

当x=-1,y=2时

原式=(-1)×2²-(-1)²×2

=(-1)×4-1×2

=-4-2

= -6