a) A=(4-5x)2-(3+5x)2=(4-5x-3-5x)(4-5x+3+5x)=(-25x+1)1=-25x+1
B=(3x-1)(1+3x)-(3x+1)2=9x2-1-(3x+1)2=9x2-1-(9x2+6x+1)=9x2-1-9x2-6x-1=-6x-2=-2(3x+1)
1.a)4x^4× (4x^4+2x^2)
b) 4x^4 - 2x^2×(3x^3+2x)
c) (3x^3-2y)×(5x^3+3y)
d) (a^3+3ab-b^2) ×(2a-b)
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
RÚT GỌN CÁC BIỂU THỨC SAU 1 CÁCH NHANH NHẤT
A= (6x-2)^2 + (2-5x)^2+2(6x-2)(2-5x)
B= (2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2
C=(x+3)(x^2-3x+9)-(54+x^3)
D=(2x+y)(4x^2-2xy+y^2)-(2x-y)(4x^2+2xy+y^2)
E=(a+b)^2-(a-b)^2
3x^4 + 3x^2y^2 + 6x^3y - 27x^2
x^4 + x^3 - x^2 + x
2x^5 - 6x^4 - 2a^2x^3 - 6ax^3
x^5 + x^4 + x^3 + x^2 + x + 1
x^3 - 1 + 5x^2 - 5 + 3x - 3
1/4.(a + 1)^2 - 4/9.(a - 2)^2
12a^2b^2 - 3.(a^2b^2)^2
4x^2y^2 - (x^2 + y^2 - a^2)^2
(a + b + c)^2 + (a + b - c)^2 - 4c^2
x^3 - 1 + 5x^2 - 5 + 3x - 3
(3x^3-2x^2+x+2)*(5x^2)
(a^2x^3-5x+3a)*(-2a^3x)
(3x^2+5x-2)(2x^2-4x+3)
(a^4+a^3b+a^2b^2+ab^3+b^4)(a-b)
rút gọn : a) 5.(2x-1)^2+4(x-1)(x+3)-2(5-3x)^2
b) (2a^2+2a+1)(2a^2-2a+1)=(2a^2+1)^2
phân tích đa thức thành nhân tử
1)ab(a+b)-2bc(b-2c)-2ca(a-2c)-4abc
2)a^2b+2ab^2+4b^2c+4bc^2+2c^2a+ca^2+4abc
3)(x^2-6x+5)(x^2-10x+21)-20
4)4(x^2+x+1)^2+5x(x^2+x+1)+x^2
5)x^4+5x^3-12x^2+5x+1
6)(x+1)(x-4)(x+2)(x-8)+4x^2
7)4x^3+5x^2+10x-12
8)(x+3)^2(3x+8)(3x+10)-8
9)(4x+1)(12x-1)(3x+2)(x+1)-4
