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a: =(x-y)(5-y)
b: \(=x^2-6x+9-y^2=\left(x-3-y\right)\left(x-3+y\right)\)
a) x2 - 6x +9 = (x-3)2
b) x2 - 64 = (x-8)(x+8)
c) 2xy+3z+6y+xz = (2xy+xz)=(3z+6y)= x(2y+z) + 3(2y+z)=(2y+z)(x+3)
d) 5x2+5xy-x-y = 5x(x+y)-(x+y) = (x+y)(5x-1)
e) x2 - xy+ x-y = x(x-y)+(x-y) = (x-y)(x+1)
CHÚC BN HỌC TỐT
a) \(2xy-y+6x-3=\left(2xy+6x\right)-\left(y+3\right)=2x\left(y+3\right)-\left(y+3\right)=\left(2x-1\right)\left(y+3\right)\)
b) \(x^2-2xy-x+2y=\left(x^2-2xy\right)-\left(x-2y\right)=x\left(x-2y\right)-\left(x-2y\right)=\left(x-1\right)\left(x-2y\right)\)
a) x3-2x2-x+2
=x(x2-1)+2(-x2+1)
=x(x2-1)-2(x2-1)
=(x2-1)(x-2)
b)
x2+6x-y2+9
=x2+6x+9-y2
=(x+3)2-y2
=(x+3-y)(x+3+y)
\(a,x^6-y^6=\left(x^3\right)^2-\left(y^3\right)^2=\left(x^3-y^3\right)\left(x^3+y^3\right).\)
\(=\left(x-y\right)\left(x^2+xy+y^2\right).\left(x+y\right)\left(x^2-xy+y^2\right)\)
\(b,9x^2+y^2+6xy=\left(3x\right)^2+2.3x.y+y^2=\left(3x+y\right)^2\)
\(c,6x-9-x^2=-\left(x^2-6x+9\right)=-\left(x^2-2.x.3+3^2\right)=-\left(x-3\right)^2\)
a) 15x + 15y = 15(x + y)
b) 6x - 10y = 2(3x - 5y)
c) 2a + 4b - 6c = 2(a + 2b - 3c)
d) 6xy - 12x - 18y = 6(xy - 2x - 3y)
e) 2(x + y) - 5a(x + y) = (2 - 5a)(x + y)
f) 6x(x - y) + 5(y - x) = 6x(x - y) + (-5)(x - y) = (6x - 5)(x - y)
a) \(15x+15y=15\left(x+y\right)\)
b) \(6x-10y=2\left(3x-5y\right)\)
c) \(2a+4b-6c=2\left(a+2b-3c\right)\)
d) \(6xy-12x-18y=6\left(xy-2x-3y\right)\)
e) \(2\left(x+y\right)-5a\left(x+y\right)=\left(2-5a\right)\left(x+y\right)\)
f) \(6x\left(x-y\right)+5\left(y-x\right)=6x\left(x-y\right)-5\left(x-y\right)=\left(6x-5\right)\left(x-y\right)\)
`a)5(x-y)-y(x-y)`
`=(x-y)(5-y)`
`b)x^2-6x-y^2+9`
`=(x^2-6x+9)-y^2`
`=(x-3)^2-y^2`
`=(x-3-y)(x-3+y)`