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多项式(x+2)(2x-1)-(x+2)可以因式分解成(x+m)(2x+n...

①计算(x+2)的平方-(x-1)(x-2) (x+2)^2 - (x - 1)(x - 2)= (x^2 + 4x + 4) - (x^2 - 3x + 2)= 7x + 2②因式分解2x(m-n)-(n-m) 2x(m - n) - (n - m)= 2x(m-n) + (m-n)= (2x +1)(m - n)③填空若m+n=3,mn=-2,(n-m)的平方=??? (n - m)^2 = (...

分组分解法 分组分解是分解因式的一种简洁的方法,下面是这个方法的详细讲解。 能分组分解的多项式有四项或大于四项,一般的分组分解有两种形式:二二分法,三一分法。 比如: ax+ay+bx+by =a(x+y)+b(x+y) =(a+b)(x+y) 我们把ax和ay分一组,bx和...

=x^n(x^2-2X+1) =x^n(x-1)^2

(2x?1)(x+14)=2x2+12x-x-14=2x2-12x-14.则m=-12,n=-14.

(1) 6x4y2-12x3y+27x2y3 =3x2y·2x2y-3x2y·4x+3x2y·9y2=3x2y(2x2y-4x+9y2) (2)-x4y+x3y2-x2y3=-(x4y-x3y2+x2y3) =-(x2y·x2-x2y·xy+x2y·y2) =-x2y(x2-xy+y2) (3)xn+3xn-1+xn-2=xn-2·x2+xn-2·3x+xn-2·1 =xn-2(x2+3x+...

x²-2xy+y²-2x+2y+1 =(x-y)²-2(x-y)+1 =(x-y-1)² -x^(n+1)+2x^n-x^(n-1) =-x^(n-1)*x^2+2x^(n-1)*x-x^(n-1) =-x^(n-1)[x^2-2x+1] =-x^(n-1)(x-1)^2 1998×2000-1999² =(1999-1)(1999+1)-1999² =1999²-1-1999&s...

因为2x2+3xy-2y2-x+8y-6=(x+2y+m)(2x-y+n)=2x^2+3xy-2y^2+(n+2m)x+(2n-m)y+mn,所以n+2m=-1,2n-m=8,mn=-6,解方程组得m=-2,n=3,所以(m^3+1)/(n^2-1)=-7/8. 评论 | 5 2

(2x-1)(x+1/4)=2x^2-1/2x-1/4 m=-1/2 n=-1/4

(1)原式=(x²+2)²-3(x²+2)=(x²+2)【x²-1】=(x²+2)(x+1)(x-1); (3)原式=(a³-a)+(a²-1)=(a+1)²(a-1); (4)原式=(a-b)²-1=(a-b+1)(a-b-1); (5)原式=【(x&#...

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