(a+b)²=a²+2ab+b². (a−b)²=a²−2ab+b². (a+b)(a−b)=a²−b².
Facteur commun. a²−b²=(a+b)(a−b). Trinôme ax²+bx+c : Δ=b²−4ac.
Domaine : dénominateur≠0. Simplifier après factorisation. a/b+c/d=(ad+bc)/(bd).
(1)(x+3)² (2)(2x−1)² (3)(x+4)(x−4) (4)(x+1)(x+2)
(1)x²+6x+9 (2)4x²−4x+1 (3)x²−16 (4)x²+3x+2
(1)x²−9 (2)4x²−12x (3)x²+5x+6 (4)2x²−8
(1)(x+3)(x−3) (2)4x(x−3) (3)(x+2)(x+3) (4)2(x+2)(x−2)
(1)(x²−1)/(x+1) (2)(2x−4)/(x−2) (3)(x²−4)/(x+2)²
(1)x−1 (2)2 (3)(x−2)/(x+2)
f(x)=x²+3x−4. (1)f(2) (2)f(−4) (3)Factoriser (4)Solutions
(1)6 (2)0 (3)(x+4)(x−1) (4)x=1 ou x=−4
(x²−5x+6)/(x²−4)×(x+2)/(x−3)
=1
f(x)=(x²−4x+3)/(x²−1)
(a+b)²=
(a+b)(a−b)=
x²−25=
3x²+6x=
(x²−4)/(x+2)=
(2x−3)²=
Dom. de 1/(x²−4)
x²+x−6=(x+3)(x−?)
(a/b)÷(c/d)=
x²−6x+9=
