1) \(3x^2-9=3\left(x^2-3\right)\)
2) \(\dfrac{1}{2}x^2-2y^2\)
\(=\dfrac{1}{2}\left(x^2-4y^2\right)\)
\(=\dfrac{1}{2}\left(x-2y\right)\left(x +2y\right)\)
3) \(3x^2-12y^2\)
\(=3\left(x^2-4y^2\right)\)
\(=3\left(x-2y\right)\left(x+2y\right)\)
4) \(\dfrac{1}{3}x^2y^2-3x^2\)
\(=\dfrac{1}{3}x^2\left(y^2-9\right)\)
\(=\dfrac{1}{3}x^2\left(y-3\right)\left(y+3\right)\)
#Toru
Bài 1 :phân tích nhân đa thức sau thành nhân tử
a) 3x^2 -9
b) 1/2x^2 - 2y^2
c) 3x^2 - 12y^2
d) 1/3x^2y^2 - 3x^2
1. (2x+3y)^2
2. (5x-y)^2
3. (2x+y^2)^3
4. (2x-1) (4x^2+2x+1)
5. (5+3x)^3
6.(x^2+2/5y) (x^2-2/5y)
7.(x+1/4)^2
8. (2/3x^2-1/2y)^3
9. (3x^2-2y)^3
10.(x-3y) (x^2+3xy+9y^2)
11. (x^2-3) (x^4+3x^2+9)
12. (x+2y+z) (x+2y-z)
mn giúp em với
Phân tích đa thức thành nhân tử
1) 32X^4+1
2)X^8+3x^4+1
3)x^2+2xy-8y^2+2xz+14yz-3z^2
4)3x^2-22xy-4x+8y+7y^2+1
5)12x^2+5x-12y^2+12y-10xy-3
6)2x^2-7xy+3y^2+5xz-5yz+2z^2
7)x^2+3xy+2y^2+3xz+5yz=2z^2
8)x^2-8xy+15y^2+2x-4y-3
9)x^4-13x^2+36
10)4(x^2+15x+50)(x^2+18x+72)-3x^2
BT9: Thực hiện phép tính
a, 1/2x^2+1/3x^3-5/2x^2-7/3x
b, 3/4xyz^2+2/4xyz^2+1/4xyz
c, 5/8x^2y^3+1/2y^3x^2-3x^2y
BT9: Thực hiện phép tính
a, 1/2x^2+1/3x^3-5/2x^2-7/3x
b, 3/4xyz^2+2/4xyz^2+1/4xyz
c, 5/8x^2y^3+1/2y^3x^2-3x^2y
Bài 1: Rút gọn các biểu thức:
a.(x + 2)2 - (x + 4)2 + x2 - 3x + 1
b.(2x + 2)2 - 4x(x + 2)
c. (2x - 1)2 - 2(2x - 3)2 + 4
d. (3x + 2)2 + 2(2 + 3x)(1 - 2y) + (2y - 1)2
e. (x2 + 2xy)2 + 2(x2 + 2xy)y2 + y4
f. (x - 1)3 + 3x(x - 1)2 + 3x2(x -1) + x3
g. (2x + 3y)(4x2 - 6xy + 9y2)
h. (x - y)(x2 + xy + y2) - (x + y)(x2 - xy + y2)
n. (x2 - 2y)(x4 + 2x2y + 4y2) - x3(x – y)(x2 + xy + y2) + 8y3
a,(3+1)(x-1)
b,5x(3x-2)
c,3x^2y+6xy^2-9xy):3xy
d,(3x^4-6x^3+4x^2):2x^y
e,(8x^4y^3-4x^3y^2+x^2y^2):2x^2y^2
a)(3x^2-4)(x+3y) b)(c+3)(x^2+3x) c)(xy-1)(xy+5) d)(3x+5y)(2x-7y) e)-(x-1)(-x^2+2y) f)(-x^2+2y)(x^2+2y)
6) Tính a)2xy(3x+1) b)-6x^2y(4x-5) c)-3x^2(4x^2y-6xy) d1/2xy^2(2x+3) e)8x^2y^2(1/4xy-1/2x^2) f)5x(x^2+3x+1) g)-1/2x^2y(2xy+6)
