c1 mate productos notables - 5º
TRANSCRIPT
![Page 1: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/1.jpg)
MATEMÁTICA
PRODUCTOS NOTABLES I
![Page 2: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/2.jpg)
SUMA Y DIFERENCIA DE BINOMIOS
222
222
2)(
2)(
bababa
bababa
![Page 3: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/3.jpg)
EJEMPLO Nº 01
Si:
x + x–1
Calcula:
4744 xx
![Page 4: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/4.jpg)
EJEMPLO Nº 02
Reduce:
2
2222
6m3)(m3)(m
![Page 5: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/5.jpg)
EJEMPLO Nº 03
Si se sabe:a + b = 5
ab = 7Calcula el valor de: a2 + b2
![Page 6: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/6.jpg)
DIFERENCIA DE CUADRADOS
22))(( bababa
![Page 7: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/7.jpg)
EJEMPLO Nº 04
Efectúa:
)12)(12(
)13)(13()15)(15(
P
![Page 8: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/8.jpg)
ACTIVIDAD Nº 1
![Page 9: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/9.jpg)
PROBLEMA Nº 01
Reduce:
23
23
23
23
M
![Page 10: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/10.jpg)
PROBLEMA Nº 02
Si:a + b = 11 a2 + b2 = 73
Calcula:a2 – b2
![Page 11: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/11.jpg)
PROBLEMA Nº 03
Efectúa:
32 842 )19)(19)(19(801 E
![Page 12: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/12.jpg)
PROBLEMA Nº 04
Efectúa:
)1)(1)(1()4)(4( xxxxxE
![Page 13: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/13.jpg)
PROBLEMA Nº 05
Efectúa:
22xx2 22
![Page 14: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/14.jpg)
PROBLEMA Nº 06
Efectúa:
)3yx(xy)(xy)(x
E 22
33
![Page 15: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/15.jpg)
PROBLEMA Nº 07
Efectúa:
(x + 4)(x – 5) + (x + 6)(x + 9)
![Page 16: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/16.jpg)
PROBLEMA Nº 08
Efectúa:
22222 )2()1()1()2(51 xxxxx
![Page 17: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/17.jpg)
PROBLEMA Nº 09
Efectúa:
322))(())((
cbcacbacbbaba
![Page 18: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/18.jpg)
ACTIVIDAD Nº 2
![Page 19: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/19.jpg)
PROBLEMA Nº 01
Reduce:
8 16842 )15)(15)(15)(15(241
![Page 20: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/20.jpg)
PROBLEMA Nº 02
Si:7a + b – c = 49–c
Calcula el valor de: P = (b + c)4 – a4
![Page 21: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/21.jpg)
PROBLEMA Nº 03
Si:a + b = c
Calcula el valor de:
abbac
A)( 222
![Page 22: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/22.jpg)
PROBLEMA Nº 04
Si se sabe:
Calcula el valor de: a2 + b2
2 3
5
a b
ab
![Page 23: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/23.jpg)
PROBLEMA Nº 05
Reduce:
2 2(2 3 ) (2 3 )M
12a b a b
ab
![Page 24: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/24.jpg)
PROBLEMA Nº 06
Reduce:
2 2
2( 5 2) +( 5 2)
K(2 7)
![Page 25: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/25.jpg)
PROBLEMA Nº 07
Si:
Calcula:
13 x
8 842 6561)81)(9)(3)(3( xxxx
![Page 26: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/26.jpg)
PROBLEMA Nº 08
Reduce:
2 2M=(3x+2) 9( 1) 30 x x
![Page 27: C1 mate productos notables - 5º](https://reader036.vdocuments.site/reader036/viewer/2022081419/55cfe6abbb61ebd1608b4580/html5/thumbnails/27.jpg)
PROBLEMA Nº 09
Reduce:
K 5 1 5 1