已知x=1175,y=2522,則(x+y)2-(x-y)2的值等於() A. 16B. 13C. 23D. 58

已知x=1175,y=2522,則(x+y)2-(x-y)2的值等於() A. 16B. 13C. 23D. 58


(x+y)2-(x-y)2,=(x+y+x-y)(x+y-x+y),=2x•2y,=4xy,當x=1175,y=2522時,原式=4×1175×2522=23.故選C.



1.計算⑴2a-3(3a-2b)2(a+2b)(2)(x平方-2xy+y平方)-(x平方+2xy+y平方…
1.計算
⑴2a-3(3a-2b)2(a+2b)
(2)(x平方-2xy+y平方)-(x平方+2xy+y平方)
(3)5a+3[2b-3(a-b+2c)-(b+c)]
(4)(-4分之3a平方)平方•;(4分之3a的3次方)平方


1.2a-3(3a-2b)2(a+2b)=2a-(9a-6b)(2a+4b)=2a-(18a^2-12ab+36ab-24b^2)=2a-18a^2+12ab-36ab+24b^2=2a-18a^2-24ab+24b^2
2.(x^2-2xy+y^2)-(x^2+2xy+y^2)=x^2-2xy+y^2-x^2-2xy-y^2=(-4xy)
3.5a+3[2b-3(a-b+2c)-(b+c)]=5a+[6b-9(a-b+2c)-3(b+c)]=5a+6b-9a+9b-18c-3b-3c=12b-4a-21c
4.[(3a^2)/(-4)]^2×[(3a)^3/4]^2=[(81a^5)/(-16)]^2=(6561a^10)/196



1.3(x-y)^2+4(x-y)-4 2.2(2m-n)^2 +7(2m-n)-15 3.x^2-2xy+10x-10y+25 4.(x-y)^2-2x+2y
分組因式分解
急.


1. 3(x-y)^2+4(x-y)-4 =[3(x-y)-2]*[(x-y)+2]=(3x-3y-2)(x-y+2).2. 2(2m-n)^2 +7(2m-n)-15 =[2(2m-n)-3]*[(2m-n)+5]=(4m-2n-3)(2m-n+5).3. x^2-2xy+10x-10y+25 =x²;+10x+25 - 2xy-10y=(x+5)²;-2y(x+5)=(x+…