\(\text{a. (x – 2y)^2=x^2- 2x2y+ (2y)^2 =x^2-4xy+4y^2 }\)
\(\text{b. (2x^2 +3)^2= (2x^2)^2+2.2x.3+3^2=16x^4+12x+9}\)
\(\text{c. (x – 2)(x^2 + 2x + 4)=x^3-2^3=x^3-6 }\)
\(\text{d. (2x – 1)^3= 2x^3-3.(2x)^2.1+3.2x.1^2-1^3=8x^3-12x^2+6x-1}\)
\(\text{a. (x – 2y)^2=x^2- 2x2y+ (2y)^2 =x^2-4xy+4y^2 }\)
\(\text{b. (2x^2 +3)^2= (2x^2)^2+2.2x.3+3^2=16x^4+12x+9}\)
\(\text{c. (x – 2)(x^2 + 2x + 4)=x^3-2^3=x^3-6 }\)
\(\text{d. (2x – 1)^3= 2x^3-3.(2x)^2.1+3.2x.1^2-1^3=8x^3-12x^2+6x-1}\)
Bài 1. Thực hiện phép tính:
a) 2xy(x2+ xy - 3y2)
b) (x + 2)(3x2 - 4x)
c) (x3 + 3x2 - 8x - 20) : (x + 2)
d) (x + y)2 + (x – y)2 – 2(x + y)(x - y) e) (a + b)3 - (a – b)3 – 2b3
f) 2x2(x – 2)+ 3x(x2 – x – 2) –5(3 – x2)
g) (x – 1)(x – 3) – (4 – x)(2x + 1) – 3x2 + 2x – 5
Thực hiệp phép tính:
a) (x2 + 1) (5 - x)
b) (x - 2) (x2 + 3x - 4)
c) (x - 2y)2
d) (2x2 + 3)2
Bài 2. Tính:
a. (x – 2y)2 b. (2x2 +3)2 c. (x – 2)(x2 + 2x + 4) d. (2x – 1)3
Bài 3: Rút gọn biểu thức
1. (6x + 1)2 + (6x – 1)2 – 2(1 + 6x)(6x – 1) 2. 3(22 + 1)(24 + 1)(28 + 1)(216 + 1)
3. x(2x2 – 3) – x2(5x + 1) + x2. 4. 3x(x – 2) – 5x(1 – x) – 8(x2 – 3)
HEPL ME!
Thực hiện phép tính:
a)2x(3x2 - 5x + 3) b)-2x2(x2 + 5x - 3) c)-1/2x2(2x3 - 4x + 3)
d) (2x - 1)(x2 +5- 4) c) 7x(x - 4) - (7x + 3)(2x2 - x + 4).
Bài 1: Làm tính nhân:
a) 2x. (x2 – 7x -3) b) ( -2x3 + y2 -7xy). 4xy2
c)(-5x3). (2x2+3x-5) d) (2x2 - xy+ y2).(-3x3)
e)(x2 -2x+3). (x-4) f) ( 2x3 -3x -1). (5x+2)
g) ( 25x2 + 10xy + 4y2). ( ( 5x – 2y) h) ( 5x3 – x2 + 2x – 3). ( 4x2 – x + 2)
Bài 2: Tìm x
a) (x-2)2-(2x+3)2=0 d) x2.(x+1)-x.(x+1)+x.(x-1)=0
b) 9.(2x+1)2-4.(x+1)2=0 e) (x-2)2-(x-2).(x+2)=0
c) x3-6x2+9x=0 g) x4-2x2+1=0
h) 4x2+y2-20x-2y+26=0 i) x2-2x+5+y2-4y=0
Thực hiện phép tính:
a) ( 5x4 – 3x3 + x2 ):3x2 b) ( 5xy2 + 9xy – x2 y2) : ( -xy)
c) (\(x^3y^3-\dfrac{1}{2}x^2y^3-x^3y^2\)) :\(\dfrac{1}{3}x^2y^2\) d)\(\left(x^3-2x^2y+3xy^2\right):\left(-\dfrac{1}{2}x\right)\)
e) (30x4y3 - 20x2y3 + 6x4y4) : 5x2y3
a) 2x. (x2 – 7x -3)
b) ( -2x3 + y2 -7xy). 4xy2
c)(-5x3). (2x2+3x-5)
d) (2x2 - xy+ y2).(-3x3)
e)(x2 -2x+3). (x-4)
f) ( 2x3 -3x -1). (5x+2)
g) ( 25x2 + 10xy + 4y2). ( 5x – 2y)
h) ( 5x3 – x2 + 2x – 3). ( 4x2 – x + 2)
Bài 1: Rút gọn
C) (x2 - 3) (x2 +3) - 5x2 (x + 1)2 - (x2 - 3x) ( x2 - 2x) + 4x (x + 2)2
D) -6x2 (x + 5)2 - ( x - 3)2 + (x2 - 2) (2x2 + 1) - 4x2 ( 3x - 4)2