计算:(B-1)(1+B)(B²-1),(a-2b+3c)(a+2b-3c)
1个回答

计算:

1.(B-1)(1+B)(B²-1)

=(B-1)(B+1)(B²-1)

=(B²-1)(B²-1)

=(B²-1)²

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

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

=a² -(2b-3c)²

分解因式:

1.a²x²+16ax +64

=(ax)²+2*8*ax +8²

=(ax+8)²

2.25(x+y)²-16(x-y)²

=[5*(x+y)]²-[4(x-y)]²

=[5(x+y)+4(x-y)]*[(5(x+y)-4(x-y)]

=(9x-y)*(x+9y)

=9x²+81xy-xy-9²

=9x²+80xy-9y²

3.x²-6x+9-Y²

=x²-2*3x+3*3-Y²

=(x-3)²-Y²

=(x-3-y)*(x-3+y)

4.(a²+b²-1)²-4a²b²

=(a²+b²-1)²-(2ab)²

=[(a²+b²-1)+2ab]*[(a²+b²-1)-2ab]

=[(a+b)²-1]*[(a-b)²-1]

求值:

[(x+2y- 3/2)(x-2y+ 3/2)+2y(2y-3)+(2^-2/3)]/(-3x)^-1

=[(x²-(2y- 3/2)²]*(-3x)+[4y²-6y+ (√2)/4]*(-3x)

将X+-1,Y=2007/2006代入即可