1) 10x^2-9x-1
2) 11x^2-10x-1
giải phương trình 1/8x1 - 1/9x=1/10x+4 -1/11x+3
6x^2+11x-10x
2x^2-3x-14
x^3-9x^2+6x+16
-10x^2 + 11x + 6
- 10x^2 + 4x + 6
- 10x^2 -7x + 6
- 10 x^2 -17x + 6
-10x^2 -28 - 6
-10x^2 + 7x + 12
Phân tích thành nhân tử ( bằng kĩ thuật tách hạng tử)
phân tích đa thức tahnhf nhân tử
1. -10x2+11x+6
2. 10x2-4x -6
3. 10x^2 +7x-6
4. 10x^2-14x-12
5. 10x^2-28x-6
6. 8x^2-23x-3
7. -8x^2+5x+3
8. -10x^2-7x+6
9. -10x^2 +28x+6
10. 6x^2-xy-y^2
11. 5x^2-18x-8
12. 6x^2+7x-3
Xin lỗi bạn,mk ms học đến phân tích đa thức thành nhân tử nhóm nhiều hạng tử,còn phần này mk ms học còn yếu lắm.
1. \(-10x^2+11x+6\)
\(=-10x^2+15x-4x+6\)
\(=-5x\left(2x-3\right)-2\left(2x-3\right)\)
\(=\left(-5x-2\right)\left(2x-3\right)\)
2.\(10x^2-4x-6\)
\(=2\left(5x^2-2x-3\right)\)
\(=2\left(5x^2+3x-5x-3\right)\)
\(=2\left[x\left(5x+3\right)-\left(5x+3\right)\right]\)
\(=2\left(x-1\right)\left(5x+3\right)\)
3. \(10x^2+7x-6\)
\(=10x^2+12x-5x-6\)
\(=2x\left(5x+6\right)-\left(5x+6\right)\)
\(=\left(2x-1\right)\left(5x+6\right)\)
4. \(10x^2-14x-12\)
\(=2\left(5x^2-7x-6\right)\)
\(=2\left(5x^2+3x-10x-6\right)\)
\(=2\left[x\left(5x+3\right)-2\left(5x+3\right)\right]\)
\(=2\left(x-2\right)\left(5x+3\right)\)
Đặt nhân tử :
a) 10x2 -29x+10
b) x2-4xy+3y2
c) 8-x3
d) 2x2 -11x+12
e) -2x2 +5x-3
f) x2-9x+20
h) 2a2-7a+3
i) a2-a-6
k) x2+x-12
m) 3(x+1)2-4x2-4x
n) 3x(1-2x) -10x+5
o) x2 +xy-xz-yz
a) \(10x^2-29x+10\)
\(=10x^2-4x-25x+10\)
\(=2x\left(5x-2\right)-5\left(5x-2\right)\)
\(=\left(5x-2\right)\left(2x-5\right)\)
\(\text{a) }10x^2-29x+10\\ =10x^2-25-4x+10\\ =5x\left(2x-5\right)-2\left(2x-5\right)\\ =\left(5x-2\right)\left(2x-5\right)\)
\(\text{b) }x^2-4xy+3y^2\\ =x^2-3xy-xy+3y^2\\ =x\left(x-3y\right)-y\left(x-3y\right)\\ =\left(x-y\right)\left(x-3y\right)\)
\(\text{c) }8-x^3=\left(2-x\right)\left(4+2x+x^2\right)\)
\(\text{d) }2x^2-11x+12\\ =2x^2-8x-3x+12\\ =2x\left(x-4\right)-3\left(x-4\right)\\ =\left(2x-3\right)\left(x-4\right)\)
\(\text{e) }-2x^2+5x-3\\ =-2x^2+2x+3x-3\\ =\left(2x-2x^2\right)-\left(3-3x\right)\\ =2x\left(1-x\right)-3\left(1-x\right)\\ =\left(2x-3\right)\left(1-x\right)\)
\(\text{f) }x^2-9x+20\\ =x^2-4x-5x+20\\ =x\left(x-4\right)-5\left(x-4\right)\\ =\left(x-5\right)\left(x-4\right)\)
\(\text{h) }2a^2-7a+3\\ =2a^2-a-6a+3\\ =a\left(2a-1\right)-3\left(2a-1\right)\\ =\left(a-3\right)\left(2a-1\right)\)
\(\text{i) }a^2-a-6\\ =a^2-3a+2a-6\\ =a\left(a-3\right)+2\left(a-3\right)\\ =\left(a+2\right)\left(a-3\right)\)\(\text{k) }x^2+x-12\\ =x^2+4x-3x-12\\ =x\left(x+4\right)-3\left(x+4\right)\\ =\left(x-3\right)\left(x+4\right)\)\(\text{ m) }3\left(x+1\right)^2-4x^2-4x\\ =3\left(x+1\right)^2-\left(4x^2+4x\right)\\ =3\left(x+1\right)^2-4x\left(x+1\right)\\ =\left(3x+3-4x\right)\left(x+1\right)\\ =\left(3-x\right)\left(x+1\right)\) \(\text{n) }3x\left(1-2x\right)-10x+5\\ =3x\left(1-2x\right)+\left(5-10x\right)\\ =3x\left(1-2x\right)+5\left(1-2x\right)\\ =\left(3x+5\right)\left(1-2x\right)\)
\(\text{o) }x^2+xy-xz-yz\\ =x\left(x+y\right)-z\left(x+y\right)\\ =\left(x-z\right)\left(x+y\right)\)
2) 3x^2 + 3x - 6 ; 4) 6x^2 - 13x + 6 ;
5) 6x^2 + 13x + 6 ; 6) 6x^2 + 15x + 6 ;
7) 6x^2 - 15x + 6 ; 8) 6x^2 + 20x + 6 ;
9) 6x^2 - 20x + 6 ; 10) 6x^2 + 12x + 6 ;
11) 8x^2 - 2x - 3 ; 12) 8x^2 + 2x - 3 ;
13) -8x^2 + 5x + 3 ; 14) 8x^2 - 10x - 3 ;
15) 8x^2 + 10x - 3 ; 16) -8x^2 + 23x + 3 ;
17) 8x^2 - 23x - 3 ; 18) 10x^2 - 11x - 6 ;
19) -10x^2 + 11x + 6 ; 20) 10x^2 - 4x - 6 ;
HELP ME!!!
Mik quên mất ghi đề bài r ! Xin lỗi nhé ! Đề bài là:
Bài 2: Phân tích thành nhân tử ( bằng kĩ thuật tách hạng tử).
Đây là toàn bộ nội dung câu hỏi các bạn nhé!
Tìm x
a)(x+12)^2-9x^2=0
b)20x^3-15x^2+7x=45-38x
c)16x^4-40x^3+10x^2=80x^3-20x^2+196x
d)-4.(x-7)+11x=-x+3.(x+5)
e)4x.(x^2-3)+x=4x^3-3x+5
a: \(\Leftrightarrow\left(x+12-3x\right)\left(x+12+3x\right)=0\)
=>(-2x+12)(4x+12)=0
=>x=-3 hoặc x=6
b: \(\Leftrightarrow20x^3-15x^2+45x-45=0\)
=>\(x\simeq0.93\)
d: =>-4x+28+11x=-x+3x+15
=>7x+28=2x+15
=>5x=-13
=>x=-13/5
e: \(\Leftrightarrow4x^3-12x+x=4x^3-3x+5\)
=>-9x=-3x+5
=>-6x=5
=>x=-5/6
x.1x.2x.3x.4x.5x.6x.7x.8x.9x.10x.11x=5500
x=?