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\(x^8+x^6+x^4+x^2+1\)
\(=x^6\left(x^2+1\right)+\left(x^2+1\right)^2\)
\(=\left(x^6+x^2+1\right)\left(x^2+1\right)\)
học tốt
mk lm lun nhe
=x2.[x4-x2+2x+2]
=x2.[x2[x2-1]+2[x+1] ]
=x2.[x2[x-1].[x+1]+2[x+1] ]
x2[x+1].[x3-x2+2]
=x3-7x+6
=x3-2x2+2x2-4x-3x+6
=x2(x-2)+2x(x-2)-3(x-2)
=(x-2)(x2+2x-3)
=(x-2)(x2+2x+1-4)
=(x-2)[(x+1)2-4]
=(x-2)(x+1-2)(x+1+2)=(x-1)(x-2)(x+3)
x3 - 7x + 6
= x3 - 2x2 + 2x2 - 4x - 3x + 6
= x2 ( x - 2 ) + 2x ( x - 2 ) + 3 ( x - 2 )
= ( x2 + 2x + 3 ) ( x - 2 )
= ( x2 + 2x + 1 - 4 ) ( x - 2 )
= [ ( x + 1 )2 - 22 ] ( x - 2 )
= ( x + 1 - 2 ) ( x + 1 + 2 ) ( x - 2 )
= ( x - 1 ) ( x + 3 ) ( x - 2 )
\(\left(x+1\right)^4+\left(x^2+x+1\right)^2\)
\(=2x^4+6x^3+9x^2+6x+2\)(bạn nhân phá ngoặc rồi thu gọn nhé)
\(=\left(2x^4+2x^3+x^2\right)+\left(4x^3+4x^2+2x\right)+\left(4x^2+4x+2\right)\)
\(=x^2\left(2x^2+2x+1\right)+2x\left(2x^2+2x+1\right)+2\left(2x^2+2x+1\right)\)
\(=\left(x^2+2x+2\right)\left(2x^2+2x+1\right)\)
\(a,\)
\(x^3y-y\)
\(=y\left(x^3-1\right)\)
\(=y\left[\left(x-1\right)\left(x^2+x+1\right)\right]\)
\(=y\left(x-1\right)\left(x^2+x+1\right)\)
\(b,\)
\(x^3y+y\)
\(=y\left(x^3+1\right)\)
\(=y\left[\left(x+1\right)\left(x^2-x+1\right)\right]\)
\(=y\left(x+1\right)\left(x^2-x+1\right)\)
\(c,\)
\(\left(x-y\right)^2-x\left(y-x\right)\)
\(=\left(x-y\right)^2+x\left(x-y\right)\)
\(=\left(x-y\right)\left(x-y+x\right)\)
\(=\left(x-y\right)\left(2x-y\right)\)
3 cách nào vậy bạn
Tớ chỉ làm được 2 cách =(((
Cách 1: \(x^2+x-6\)
\(=x^2-\left(2x+3x\right)-6\)
\(=x^2-2x+3x-6\)
\(=x\left(x-2\right)+3\left(x-2\right)\)
\(=\left(x-2\right)\left(x+3\right)\)
Cách 2: \(x^2+x-6\)
\(=x^2+3x-2x-6\)
\(=x\left(x+3\right)-2\left(x+3\right)\)
\(=\left(x-2\right)\left(x+3\right)\)