Bài 1:
a)
`(x+4)(x+2)-8 =x^2+4x+2x+8-8=x^2+6x=x(x+6)`
b)
`(x-3)^2+2x-9=x^2-6x+9+2x-9=x^2-4x=x(x-4)`
Bài 2:
a)
`7x+14y=7.x+7.2y=7.(x+2y)`
b)
`x^2-4x+4-y^2=(x-2)^2-y^2=(x-2-y)(x-2+y)=(x-y-2)(x+y-2)`
c)
`x^2-y^2+8x-8y=(x-y)(x+y)+8(x-y)=(x-y)(x+y+8)`
d)
`x^2-2xy +y^2-4=(x-y)^2-2^2=(x-y-2)(x-y+2)`
Áp dụng các hằng đẳng thức:
`(A-B)^2=A^2-2AB+B^2`
`A^2-B^2=(A-B)(A+B)`