求完全平方公式和因式分解的计算题就是平方差、乘法公式、提公因式法之类的,越多越好,最好带计算过程.

(1)(x²+1)²-4x²
(2)(2x-y)²-2(2x-y)+1
(3)(x+y)²-2(x²-y²)+(x-y)²
(4)（a+1）(a+5)+4
(5)（m²+n²）²-4m²n²
(6) x²+2x+1-y²
(7) -4x^2+12xy-9y^2
(8) 9(2a-b)^2-6(2a-b)+1
(9) -2m^3+24m^2-72m
(10) -x^4+2x^2y^2-y^4
(11) (x+y)^2+4(x-y)^2-4(x^2-y^2)
(12) (a^2+1)^2-4a^2
(13) y^n+1 -3y^n +2y^n-1
(14) (x^2+3x+4)^2 +(x^2+3x+4)-6
(15) -(x-y)^3-4(x-y)^2+12(x-y)

(a-b)=a^-b^ (a+b)^=a^+2ab+b^ (a-b)^=a^-2ab+b^

(1)(x²+1)²-4x²
(2)(2x-y)²-2(2x-y)+1
(3)(x+y)²-2(x²-y²)+(x-y)²
(4)（a+1）(a+5)+4
(5)（m²+n²）²-4m²n²
(6) x²+2x+1-y²
(7) -4x^2+12xy-9y^2
(8) 9(2a-b)^2-6(2a-b)+1
(9) -2m^3+24m^2-72m
(10) -x^4+2x^2y^2-y^4
(11) (x+y)^2+4(x-y)^2-4(x^2-y^2)
(12) (a^2+1)^2-4a^2
(13) y^n+1 -3y^n +2y^n-1
(14) (x^2+3x+4)^2 +(x^2+3x+4)-6
(15) -(x-y)^3-4(x-y)^2+12(x-y)

1．(4x-3y)2
＝(4x)2-2(4x)·(3y)+(3y)2
＝16x2-24xy+9y2．
2．(-4xy+ab)2
＝(-4xy)2+2(-4xy)·(ab)+(ab)2
＝16x2y2-8abxy+a2b2
3．10.32＝(10+0.3)2
＝100+6+0.09＝106.09．
4．(x-2y+3z)2
＝x2+(-2y)2+(3z)2+2·x·(-2y)+2·x·
(3z)+2·(-2y)·(3z)
＝x2+4y2+9z2-4xy+6xz-12yz．
例：运用公式计算(4a-3b+c)(4a+3b+c)
(4a-3b+c)(4a+3b+c)
＝[(4a+c)-3b][(4a+c)+3b]
＝(4a+c)2-(3b)2
＝16a2+8ac+c2-9b2．