第23页

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​$ 解:原式=a²-ab-2a+ab-b²-2b+a-b-2$​
​$=a²-a-b²-3b-2$​
​$=a²-b²-a-3b-2$​
​$ 解:原式=x²+5x-2x-10-(4x²+2x-6x-3)$​
​$=x²+3x-10-4x²+4x+3$​
​$=-3x²+7x-7$​
解:原式​​​$=6x²+2x-9x-3-(6x²-5x-24x+20)=22x-23$​​​
当​​​$x=-2$​​​时,原式​​​$=-44-23=-67$​​​
$(x + p)(x + q) = x^2 + (p + q)x + pq$
解:(2)$\because (x - 6)(x - p) = x^2 - (6 + p)x + 6p = x^2 + mx + 36$
$\therefore 6p = 36,$解得$p = 6$
$\therefore m = -(6 + p) = -(6 + 6) = -12$
(3)$\because (x + p)(x + q) = x^2 + (p + q)x + pq = x^2 + mx + 16,$且$p,$$q$为正偶数
$\therefore pq = 16,$可能的$(p,q)$为$(2,8),$$(4,4),$$(8,2)$
$\therefore m = p + q = 2 + 8 = 10$或$4 + 4 = 8$