a. (x+2y)2)(x+2y)2) =x2+4xy+4y2=x2+4xy+4y2
b. (x−3y)(x+3y)(x−3y)(x+3y) =x2−(3y)2=x2−9y2=x2−(3y)2=x2−9y2
c. (5−x)2(5−x)2 =52−10x+x2=25−10x+x2
a. (x+2y)2)(x+2y)2) =x2+4xy+4y2=x2+4xy+4y2
b. (x−3y)(x+3y)(x−3y)(x+3y) =x2−(3y)2=x2−9y2=x2−(3y)2=x2−9y2
c. (5−x)2(5−x)2 =52−10x+x2=25−10x+x2
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
Rút gọn biểu thức.
a)M=(x+3y)2-(x-3y)2
b)Q=(x-y)2-4(x-y)(x+2y)+4(x+2y)2
Rút gọn biểu thức.
a)M=(x+3y)2-(x-3y)2
b)Q=(x-y)2-4(x-y)(x+2y)+4(x+2y)2
Thực hiện phép tính:
a) \(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)
b) \(\left(x^2-1\right)\left(x^2+2x+y\right)\)
c) \(\left(x+3y\right)^2\)
d) \(\left(4x-y\right)^3\)
e) \(\left(x^2-2y\right)\left(x^2+2y\right)\)
g) \(18x^4y^2z:10x^4y\)
h) \(\left(x^3y^3+\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
i) \(\left(6x^3-7x^2-x+2\right):\left(2x+1\right)\)
k) \(\dfrac{5x-1}{3x^2y}+\dfrac{x+1}{3x^2y}\)
l) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^2-6x}{x^2-3x+1}\)
m) \(\dfrac{2x+3}{10x-4}+\dfrac{5-3x}{4-10x}\)
n) \(\dfrac{x}{x^2+2x+1}+\dfrac{3}{5x^2-5}\)
o) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
p) \(\dfrac{4x+2}{15x^3y}\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
q) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
r) \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
x) \(\dfrac{4y^2}{11x^4}.\left(-\dfrac{3x^2}{8y}\right)\)
y) \(\dfrac{x^2-4}{3x+12}.\dfrac{x+4}{2x-4}\)
z) \(\left(x^2-25\right):\dfrac{2x+10}{3x-7}\)
t) \(\left(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}\right):\dfrac{4x}{10x-5}\)
w) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
1. Rút gọn
a, A=(4x+3y)2 + (4x-3y)2
b,B=(x-23)-(x+2)3
c,C=(x+2y)2+2.(x+2y) (x-2y) + (x-2y)2
2. Tìm x
a, x2+12x+36=0
b,16x2-8x+1=0
c,x3+3x2+3x+1=0
1. Rút gọn
a, A=(4x+3y)2 + (4x-3y)2
b,B=(x-23)-(x+2)3
c,C=(x+2y)2+2.(x+2y) (x-2y) + (x-2y)2
2. Tìm x
a, x2+12x+36=0
b,16x2-8x+1=0
c,x3+3x2+3x+1=0
a)(-6x^3y^4+4x^4y^3):2x^3y^3. b)(5x^4y^2-x^3y^2):x^3y^2. c)(27x^3y^5+9x^2y^4-6x^3y^3):(-3x^2y^3)
thực hiện phép tính:a) (x-2)(x+2)-x(x-1)+8
b) (4x^3y^3-6x^2y^3+2x^2y^2):2xy
Câu: Đẳng thức nào sau đây là đúng. *
4x^3y^2 – 8x^2y^3 = 4x^2.y(xy – 2y^2)
4x^3y^2 – 8x^2y^3 = 4x^2y^2(x – 2y)
4x^3y^2 – 8x^2y^3 = x^2y^2(x – 2y)
4x^3y^2 – 8x^2y^3 = 4x^2y^2(x – y)