Phân tích nhân tử :23) 2axy-4a2xy2+6a3x2
24) 5a2xy-10a3x-15ay
25) mxy -m2x+my
26) 2mx-4m2xy +6mx
27)a2b-2ab2+ab
28)5a2b-2ab2+ab
29) -3x2y3-6x3y2-x2y2
30)5x2y4-10x4y2+5x2y2
K
Khách
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Những câu hỏi liên quan
PT
1
CM
30 tháng 5 2018
b) 8a3 + 4a2b - 2ab2 – b3 = (8a3 – b3 ) + (4a2b - 2ab2 )
= (2a – b)(4a2 + 2ab + b2) + 2ab(2a – b)
= (2a – b)( 4a2 + 2ab + b2 + 2ab) = (2a – b)(2a + b)2
4 tháng 9 2021
\(a,5a^2xy-10a^3x-10axy=5ax\left(ay-2a^2-2y\right)\)
\(b,\left(2x+3\right)\left(3-2x\right)-\left(2x+1\right)^2\\ =-\left(4x^2-9\right)-\left(4x^2+4x+1\right)\\ =-4x^2+9-4x^2-4x-1\\ =-8x^2-4x+8\\ =-4\left(2x^2+x-2\right)\)
8 tháng 12 2023
2: \(8xy-24xy+16x\)
\(=8x\cdot y-8x\cdot3y+8x\cdot2\)
\(=8x\left(y-3y+2\right)=8x\left(-2y+2\right)\)
\(=-16y\left(y-1\right)\)
3: \(xy-x=x\cdot y-x\cdot1=x\left(y-1\right)\)
11: \(2mx-4m2xy+6mx\)
\(=2mx-2my\cdot4y+2mx\cdot3\)
\(=2mx\left(1-4y+3\right)\)
\(=2mx\left(4-4y\right)=8mx\left(1-y\right)\)
12: \(7x^2y^5-14x^3y^4-21y^3\)
\(=7y^3\cdot x^2y^2-7y^3\cdot2x^3y-7y^3\cdot3\)
\(=7y^3\left(x^2y^2-2x^3y-3\right)\)
13: \(2\left(x-y\right)-a\left(x-y\right)\)
\(=2\cdot\left(x-y\right)-a\cdot\left(x-y\right)\)
\(=\left(x-y\right)\left(2-a\right)\)
27 tháng 8 2021
a) \(x^4-4x^2-4x-1=\left(x^4-1\right)-4x\left(x+1\right)=\left(x^2+1\right)\left(x-1\right)\left(x+1\right)-4x\left(x+1\right)=\left(x+1\right)\left[\left(x^2+1\right)\left(x-1\right)-4x\right]=\left(x+1\right)\left(x^3-x^2+x-1-4x\right)=\left(x+1\right)\left(x^3-x^2-3x-1\right)\)
b) \(10x^4y^2-10x^3y^2-10x^2y^2+10xy^2=10xy^2\left(x^3-x^2-x+1\right)=10xy^2\left(x-1\right)^2\left(x+1\right)\)
27 tháng 8 2021
a: \(x^4-4x^2-4x-1\)
\(=\left(x^4-1\right)-4x\left(x+1\right)\)
\(=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)-4x\left(x+1\right)\)
\(=\left(x+1\right)\left(x^3+x-x^2-1-4x\right)\)
\(=\left(x+1\right)\left(x^3-x^2-3x-1\right)\)
b: \(10x^4y^2-10x^3y^2-10x^2y^2+10xy^2\)
\(=10xy^2\left(x^3-x^2-x+1\right)\)
\(=10xy^2\cdot\left[\left(x+1\right)\left(x^2-x+1\right)-x\left(x+1\right)\right]\)
\(=10xy^2\cdot\left(x+1\right)\left(x-1\right)^2\)
HA
5
16 tháng 9 2021
11: \(\dfrac{1}{3}x^2y^2\left(6x+\dfrac{2}{3}x^2-y\right)\)
\(=2x^3y^2+\dfrac{2}{9}x^4y^2-\dfrac{1}{3}x^2y^3\)
12: \(\dfrac{3}{4}x^3y^2\left(4x^2y-x+y^5\right)\)
\(=3x^5y^3-\dfrac{3}{4}x^4y^2+\dfrac{3}{4}x^3y^7\)
13: \(-5x^2y^4\left(3x^2y^3-2x^3y^2-xy\right)\)
\(=-15x^4y^7+10x^5y^6+5x^3y^5\)
a,\(2axy-4a^2xy^2+6a^3x^2\)
\(=2ax\left(y-2ay^2+3a^2x\right)\)
b,\(5a^2xy-10a^3x-15ay\)
\(=5a\left(axy-2ax-3y\right)\)
Tự lm tiếp, tất cả đều dùng bằng phương phép đặt nhân tử chung nhé
23) \(2axy-4a^2xy^2+6a^3x^2\)
\(=2ax\left(y-2ay^2+3a^2x\right)\)
24) \(5a^2xy-10a^3x-15ay\)
\(=5a\left(axy-2a^2x-3y\right)\)
25) \(mxy-m^2x+my\)
\(=m\left(xy-mx+y\right)\)
26) \(2mx-4m^2xy+6mx\)
\(=2mx\left(1-2my+3\right)\)
\(=4mx\left(2-my\right)\)