$\\$
`e,`
`9x^2 - 16y^2`
`= (3x)^2 - (4y)^2`
`= (3x-4y) (3x+4y)`
$\\$
`f,`
`1/4 x^2 - 1/9 y^2`
`= (1/2x)^2 - (1/3y)^2`
`= (1/2x - 1/3y) (1/2x + 1/3y)`
$\\$
*Áp dụng : `a^2 - b^2 = (a+b) (a-b)`
Chứng minh :
Xét vế phải :
`(a+b) (a-b)`
`= a (a-b) + b (a-b)`
`= a^2 - ab + ab - b^2`
`= a^2 + (-ab+ab) -b^2`
`= a^2 -b^2` (Bằng vế trái)
`-> a^2- b^2 = (a+b) (a-b)`