Contenu connexe Similaire à unidad 1 josbelh leal Similaire à unidad 1 josbelh leal (20) unidad 1 josbelh leal2. ax + bx = (a + b)x
10x + 30x = 40x
17& + 13& = 30&
Suma de monomio Resta de monomio
ax - bx = (a - b)x
50x - 10x = 40x
17& - 3& = 14&
3. 1 + 2 =
(x+1) (x-1)
1(x+1)+ 2(x-3) =
(x+1) (x-1)
x+1+2x-6 =3x-5
(x+1) (x-1) (x²-1)
Suma algebraica Resta de algebraica
(1x)-(2x)=
3 2
2x-6x= -4x=-2x
6 6 3
4. P(x) + Q(x)= (P+Q)x
2x + 3
+3x + 7
5x + 10
(10a + 5b) + (3a + 2b)=
10a+3a+5b+2b= 13a+7b
Suma de polinomio Resta de polinomio
P(x) - Q(x)= (P-Q)x
2x + 3
- (1x + 7)
1x - 4
10a+5b-(3a+2b)=
10a-3a+5b-2b=7a+3b
5. (2a)(b + a2
)=
(2a)(b) + (2a)(a2
) =2ab + 2a3
(2x²- 3) · (2x³ - 3x² + 4x) =
4x⁵− 6x⁴+ 8x³− 6x³+ 9x²− 12x =
4x⁵− 6x⁴ + 2x³ + 9x² − 12x
multiplicacion de polinomio multiplicación de monomio
axn · bxm = (a · b)x^(n + m)
4x · (3x²y) =
4.3.x.x².y=12x³y
(5x²y³z) · (2y²z²) = (2 · 5) x²y^(2+3)z^(1+2)=
10x²y^(5)z³
8. fatorizacion producto notable
trinomio cuadrado perfecto
a²+2ab+b²=(a+b)²
x2
+ 2x – 15=
x2
+ 2x +1=15+1
√(x+1)2
=±√16
x+1=±4 x₁=x=4-1=3 x₂=x=-4-1=-5
(x + 5 )(x – 3 )
x2
– 4x + 3=(x – 3)(x – 1)
y2
– 2y – 15=(y – 5 )(y + 3 )