问题 解答题

化简或求值:

(1)3x2+2x-5x2+3x;

(2)5abc-2a2b-[3abc-3(4ab2+a2b)];

(3)当x=-3时,求3x2-2(2x2-x+1)+4(-3+x-x2)的值;

(4)已知a2+b2=6,ab=-2,求代数式(4a2+3ab-b2)-(7a2-5ab+2b2)的值.

答案

(1)原式=-2x2+5x;

(2)5abc-2a2b-(3abc-12ab2-3a2b)

=5abc-2a2b-3abc+12ab2+3a2b

=12ab2+a2b+2abc;

(3)原式=3x2-4x2+2x-2-12+4x-4x2

=-5x2+6x-14,

当x=-3时,原式=-77.

(4)原式=4a2+3ab-b2-7a2+5ab-2b2

-3a2-3b2+8ab,

当a2+b2=6,ab=-2时,原式=-3×6+8×(-2)=-34.

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