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2x2 + x -10
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F
1
16 tháng 11 2023
\(x^{10}+x^2+1\)
\(=x^{10}-x^8+x^4+x^8-x^6+x^2+x^6-x^4+1\)
\(=x^4\left(x^6-x^4+1\right)+x^2\left(x^6-x^4+1\right)+\left(x^6-x^4+1\right)\)
\(=\left(x^6-x^4+1\right)\left(x^4+x^2+1\right)\)
\(=\left(x^6-x^4+1\right)\left[x^4+2x^2+1-x^2\right]\)
\(=\left(x^6-x^4+1\right)\left[\left(x^2+1\right)^2-x^2\right]\)
\(=\left(x^6-x^4+1\right)\left(x^2+1+x\right)\left(x^2+1-x\right)\)
S
3
NV
2
22 tháng 8 2023
`#040911`
`x^2 - 3x - 10`
`= x^2 + 2x - 5x - 10`
`= (x^2 + 2x) - (5x + 10)`
`= x(x + 2) - 5(x + 2)`
`= (x - 5)(x + 2)`
TT
4
21 tháng 8 2016
ta có: x^10 + x^5 + 1
= x^10 + x^9 - x^9 + x^8 - x^8 + x^7 - x^7 + x^6 - x^6 + x^5 + x^5 - x^5 + x^4 - x^4 + x^3 - x^3 + x^2 - x^2 + x - x + 1
= (x^10 + x^9 + x^8) - (x^9 + x^8 + x^7) + (x^7 + x^6 + x^5) - (x^6 + x^5 + x^4) + (x^5 + x^4 + x^3) - (x^3 + x^2 + x) + (x^2 + x + 1)
= x^8 (x^2 + x + 1) - x^7 (x^2 + x + 1) + x^5 (x^2 + x + 1) - x^4 (x^2 + x + 1) + x^3 (x^2 + x + 1) - x (x^2 + x + 1) + (x^2 + x + 1)
= (x^2 + x + 1) (x^8 - x^7 + x^5 - x^4 + x^3 - x + 1)
hì chả bít sao ^^ !!!! 454345645767587634536346623354546456577687687687698797856756756
PK
1
9 tháng 9 2021
\(x+7\sqrt{x}+10=\left(\sqrt{x}+2\right)\left(\sqrt{x}+5\right)\)
VK
0
VK
2
M
30 tháng 10 2015
\(x\left(x+4\right)\left(x+6\right)\left(x+10\right)+128\)
\(=x\left(x+10\right)\left(x+4\right)\left(x+6\right)+128\)
\(=\left(x^2+10x\right)\left(x^2+10x+24\right)+128\)
\(=\left(x^2+10x\right)^2+24\left(x^2+10x\right)+128\)
\(=\left(x^2+10x\right)^2+2.\left(x^2+10x\right).12+12^2-16\)
\(=\left(x^2+10x+12\right)^2-4^2\)
\(=\left(x^2+10x+12-4\right) \left(x^2+10x +12+4\right)\)
\(=\left(x^2+10x-8\right)\left(x^2+10x+16\right)\)
\(=\left(x^2+10x-8\right)\left(x^2+2x+8x+16\right)\)
\(=\left(x^2+10x-8\right)\left[x\left(x+2\right)+8\left(x+2\right)\right]\)
\(=\left(x^2+10x-8\right)\left(x+2\right)\left(x+8\right)\)
NH
0
LT
1
26 tháng 6 2016
\(A=\left(x-2\right)\left(x+2\right)\left(x^2-10\right)-72=\left(x^2-4\right)\left(x^2-10\right)-72=x^4-14x^2+40-72\)
\(A=x^4-14x^2-32=x^4+2x^2-16x^2-32=x^2\left(x^2+2\right)-16\left(x^2+2\right)\)
\(A=\left(x^2+2\right)\left(x^2-16\right)=\left(x-4\right)\left(x+4\right)\left(x^2+2\right)\)
L
2
2 tháng 9 2023
a) \(x^2-x-12\)
\(=x^2-4x+3x-12\)
\(=\left(x^2-4x\right)+\left(3x-12\right)\)
\(=x\left(x-4\right)+3\left(x-4\right)\)
\(=\left(x+3\right)\left(x-4\right)\)
b) \(x^2-5x-24\)
\(=x^2-8x+3x-24\)
\(=\left(x^2-8x\right)+\left(3x-24\right)\)
\(=x\left(x-8\right)+3\left(x-8\right)\)
\(=\left(x+3\right)\left(x-8\right)\)
c) \(3x^2+13x-10\)
\(=3x^2+15x-2x-10\)
\(=\left(3x^2+15x\right)-\left(2x+10\right)\)
\(=3x\left(x+5\right)-2\left(x+5\right)\)
\(=\left(3x-2\right)\left(x+5\right)\)
2 tháng 9 2023
a: =x^2-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)
b: =x^2-8x+3x-24
=x(x-8)+3(x-8)
=(x-8)(x+3)
c: =3x^2+15x-2x-10
=3x(x+5)-2(x+5)
=(x+5)(3x-2)
2x2+x-10=2x2+5x-4x-10=(2x2-4x)+(5x-10)=2x(x-2)+5(x-2)=2x+5)(x-2)