习题4.5第1题答案
(1)x2y2-2xy+1=(xy)2-2•xy•1+12=(xy-1)2(2)9-12t+4t2=32-2×3×2t+(2t)2=(3-2t)2(3)y2+y+1/4=y2+2•y•1/2+(1/2)2=(y+1/2)2(4)25m2-80m+64=(5m)2-2×5m×8+82=(5m-8)2(5)x2/4+xy+y2=(x/2)2+2•x/2•y+y2=(x/2+y)2(6)a2b2-4ab+4=(ab)2-2•ab•2+22=(ab-2)2习题4.5第2题答案
(1)(x+y)2+6(x+y)+9=(x+y)2+2•(x+y)•3+32=[(x+y+3)] 2=(x+y+3)2(2)a2-2a(b+c)+(b+c)2=a2-2•a(b+c)+(b+c)2=[a-(b+c)] 2=(a-b-c)2(3)4xy2-4x2y-y3=-y(-4xy+4x2+y2)=-y[(2x)2-2•y+y2]=-y(2x-y)2(4)-a+2a2-a3=-a(1-2a+a2)=-a(  |