Bonjour,
Factoriser:
x²-49= (x-7)(x+7)
x²-1/4= (x-1/2)(x+1/2)
4x²-1= (2x-1)(2x+1)
9x²/4-16= (3x/2-4)(3x/2+4)
x²-3 => x²= 3 => x= + ou - √3
1-2x²= (x+1/√2)(x+1/√2)
(x+1)²-2²= (x+1-2)(x+1+2)= (x-1)(x+3)
(2x-3)²-1²= (2x-3-1)(2x-3+1)= (2x-4)(2x-2)= 4(x-2)(x-1)