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\(A=x^2-y^2-x+y\)
\(=\left(x^2-y^2\right)-\left(x-y\right)\)
\(=\left(x+y\right)\left(x-y\right)-\left(x-y\right)\)
\(=\left(x+y-1\right)\left(x-y\right)\)
\(B=ax-ab+b-x\)
\(=\left(ax-ab\right)-\left(x-b\right)\)
\(=a\left(x-b\right)-\left(x-b\right)\)
\(=\left(a-1\right)\left(x-b\right)\)
\(D=x^2-2xy+y^2-m^2+2mn-n^2\)
\(=\left(x^2+y^2-2xy\right)-\left(m^2+n^2-2mn\right)\)
\(=\left(x-y\right)^2-\left(m-n\right)^2\)
\(=\left(x-y-m+n\right)\left(x-y+m-n\right)\)
\(E=x^2-y^2-2yz-z^2\)
\(=x^2-\left(y^2+z^2+2yz\right)\)
\(=x^2-\left(y-z\right)^2\)
\(=\left(x+y-z\right)\left(z-y+z\right)\)
\(=>A=\left(x-y\right)\left(x+y\right)-\left(x-y\right)\\ =>A=\left(x-y\right)\left(x+y-1\right)\) ( dấu phía sau bị lỗi nha )
\(=>B=a\left(x-b\right)-\left(x-b\right)\\ =>B=\left(x-b\right)\left(a-1\right)\)
\(=>C=\left(a+b+c\right)\left(3x^2+36xy+108y^2\right)\)
\(=>C=3\left(a+b+c\right)\left(x^2+12xy+36y^2\right)\\ =>C=3\left(a+b+c\right)\left(x+6y\right)^2\)
\(\Rightarrow D=\left(x-y\right)^2-\left(m^2-2mn+n^2\right)\\ =>D=\left(x-y\right)^2-\left(m-n\right)^2\)
\(=>D=\left(x-y+m-n\right)\left(x-y-m+n\right)\)
\(=>E=x^2-\left(y^2+2yz+z^2\right)\\ =>E=x^2-\left(y+z\right)^2\)
\(=>E=\left(x-y-z\right)\left(x+y+z\right)\)
T I C K ủng hộ nha
CHÚC BẠN HỌC TỐT
a, x^4+x^3+x+1
=(x^4+x^3)+(x+1)
=x^3(x+1)+(x+1)
=(x+1)(x^3+1)
=(x+1)^2(x^2+x+1)
b,x^4-x^3-x^2+1
=(x^4-x^3)-(x^2-1)
=x^3(x-1)-(x-1)(x+1)
=(x-1)(x^3-x+1)
a) x ( x +1 ) 2 + ( x - 5 ) - 5( x +1 )2
=( x +1 )2.(x-5)2
=( (x +1)+(x-5)).((x +1)-(x-5))
a) x ( x +1 ) 2 + ( x - 5 ) - 5( x +1 )2
= ( x + 1 )2 ( x - 5 ) + ( x - 5 )
= ( x - 5 ) ( x2 + 2x + 1 +1 )
= ( x - 5 ) ( x2 + 2x + 2 )
b) 3x2 - 12y2
= 3 ( x2 - 4y2 )
= 3 ( x -2y ) (x + 2y )
c) x3 + 3x2 + 3x +1 - 27z3
= ( x + 1 )3 - (3z )3
= ( x + 1 - 3z ) [ ( x + 1 )2 + 3z ( x + 1 ) +9z2 ]
= ( x + 1 - 3z) [( x + 1 ) 2 + 3xz + 3z + 9z2 ]
a) \(x^4+x^3+x+1=x^3\left(x+1\right)+x+1=\left(x+1\right)\left(x^3+1\right)=\left(x+1\right)^2\left(x^2-x+1\right)\)
b) \(x^4-x^3-x^2+1=x^3\left(x-1\right)-\left(x^2-1\right)=x^3\left(x-1\right)-\left(x-1\right)\left(x+1\right)\)
\(=\left(x-1\right)\left(x^3-x-1\right)\)
c) x2y + xy2 - x - y = xy(x+y) - (x+y) = (x+Y)(xy-1)
Nhiều quá, lần sau lưu ý mỗi lần đăng ít ít thôi
1: \(=2x^2\left(7x-2\right)\)
2: \(=5y^6\left(y^4+3\right)\)
3: \(=3xy\left(3xy-5x-7y\right)\)
4: \(=\left(x+1\right)\left(3x^2-2\right)\)
5: \(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca-1\right)\)
6: \(=4x^2\left(x-2y\right)+20x\left(x-2y\right)\)
\(=4x\left(x-2y\right)\left(x+5\right)\)
7: \(=3x^2y\left(a-b+c\right)-2xy\left(a-b+c\right)\)
\(=xy\left(a-b+c\right)\left(3x-2\right)\)
a)
thế còn b,c,d,e,f có lm đc ko ạ