问题
解答题
(1)化简并求值:
(2)已知A=2x-3y+1,B=3x+2y,求2A-B; (3)若m-n=4,mn=-1,求(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)的值. |
答案
(1)
a-[4b-c-(1 2
a-c)]+[6a-(b-c)]1 2
=
a-4b+c+(1 2
a-c)+6a-(b-c)1 2
=
a-4b+c+1 2
a-c+6a-b+c1 2
=7a-5b+c
当a=0.1,b=0.2,c=0.3时,
原式=7×0.1-5×0.2+0.3=0;
(2)∵A=2x-3y+1,B=3x+2y
∴2A-B=2(2x-3y+1)+2(3x+2y)
=4x-6y+2+6x+4y
=x-8y+2;
(3)∵m-n=4,mn=-1
∴(-2mn+2m+3n)-(3mn+2n-2m)-(m+4n+mn)
=-2mn+2m+3n-3mn-2n+2m-m-4n-mn
=-6mn+3(m-n)
当m-n=4,mn=-1时,
原式=-6×(-1)+3×4=18.