1/ a2 - b2 - 2(a - b)
⇔ (a - b)(a + b) - 2(a - b)
⇔ (a - b)[a + b - 2]
2/ x2 + 2x - 3
⇔ x2 + 3x - x - 3
⇔ x(x + 3) - (x +3)
⇔ (x + 3)(x - 1)
1, \(a^2-b^2-2\left(a-b\right)\)
=(a\(^2\)-b\(^2\))-2(a-b)
=(a-b)(a+b)-2(a-b)
=(a-b)(a+b-2)
2, \(x^2+2x-3\)
=\(x^2\)+2x+1-4
=(\(x^2\)+2x+1)-4
=(x+1)\(^2\)-2\(^2\)
=(x+1-2)(x+1+2)