1.(2a-b+3)(2a-3+b)
4个回答

1.

(2a-b+3)(2a-3+b)

=[2a-(b-3)][2a+(b-3)]

=4a²-(b-3)²

=4a²-b²+6b-9

2.

20012001*4002-40024002*2001

=20012001*2001*2-2*20012001*2001

=0

3.

(a-b)x²+(a-b)xy-1/4(b-a)y ²

=(a-b)x²+(a-b)xy+1/4(a-b)y ²

=(a-b)(x²+xy+y²/4)

=(a-b)(x+y/2)²

4.(x²-2x)²+2(x²-2x)+1

=[(x²-2x)+1]²

=(x²-2x+1)²

=(x-1)^4

5.

a^8-1/256

=(a^4+1/16)(a^4-1/16)

=(a^4+1/16)(a²+1/4)(a²-1/4)

=(a^4+1/16)(a²+1/4)(a+1/2)(a-1/2)

6.先化简,在求值x=3,y=-2

2(x-y)²-(y²-x²)-(x+y)(y-x)

=2(x-y)²-(y-x)(x+y)-(x+y)(y-x)

=2(x-y)²+2(x+y)(x-y)

=2(x-y)(x-y+x+y)

=4x(x-y)

=12*5

=60