Aula de Recursos 1° Medio - Cuadrado y Cubo de Binomio

 

 @uj` hf Tfaursms 0¾ z

gfhcm Er`iacsam K`raç` ^rmefsmr fh. hcefrfiac`j

 

z

Mdoftcvm hfj hç`

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Tfsmjvfr huh`s m amisujt`s hf sfscmifs `itfrcmrfs.

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Tftrm`jcgfit`rr y fofract`r fj a`jaujm hfj au`hr`hm hf dcimgcm. Tftrm`jcgfit`

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Tftrm`jcgfit`rr y fofract`r fj a`jaujm hfj Audm hf dcimgcm. Tftrm`jcgfit`

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Tftrm`jcgfit`rr y fofract`r j` sug` pmr su hcefrfiac`. Tftrm`jcgfit`

 

Au`hr`hm hf Dcimgcm z



Qf jj`g` au`hr`hm hf ui dcimgcm, `j prmhuatm hf hms dcimgcms chãitcams, y sf rfsufjvf gfhc`itf j` eñrguj`?

0. Fj prcgfr tãrgcim `j au`hr`hm 4. Fj hmdjf hfj prcgfr tãrgcim pmr fj sfkuihm tãrgcim 1. Fj sfkuihm tãrgcim `j au`hr`hm. 

 



^mr fofgpjm? Xfrgcim

^rcgfr

Qfkuihm Xfrgcim

 

z

Mtr` emrg` hf `dmrh`r 

Xfifgms hf emrg` amgÿi quf mpfr`gms,



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 pfrm b`y mtr` emrg` g`s j`rk`, quf ims pufhf sfrvcr 

 

Fofracacm

hfs`rrmjjm

Tfsujt`hm hf rfhuaacñi hf tãrgcims sfgfo`itfs.

 

Fofractfgms

z

Fofracacm

hfs`rrmjjm

(  + 4 )∛ (  + 4 )

Tfsujt`hm hf rfhuaacñi hf tãrgcims sfgfo`itfs.

(   ∛   )+ (  ∛ 4 )+ ( 4 ∛   ) +(4 ∛ 4) 4

 

4  

4  

8

+  ++8    ++8 4

(  ∔ 4 ) ∛ ( ∔ 4)

(  ∛  ) ∔ ( ∛ 4 )∔ ( 4 ∛  )+((∔ 4) ∛ (∔ 4 ))  ∔ ( 4  ) ∔ ( 4  )+ 8  ∔ 4  ∔ 4  +8  ∔ 8 + 8 4

4

4

 

z

AVDM HFJ DCIMGCM

Qf jj`g` audm hf ui dcimgcm, `j prmhuatm hf trfs dcimgcms chãiams, y sf rfsufjvf gfhc`itf j` eñrguj`?

Fj Fj prcgfr prcgfr tãrgcim tãrgcim `j `j audm audm Fj trcpjf hfj au`hr`hm hfj prcgfr tãrgcim Fj trcpjf hfj au`hr`hm hfj prcgfr tãrgcim pmr fj sfkuihm tãrgcim pmr fj sfkuihm tãrgcim Fj trcpjf hfj prcgfr tãrgcim pmr fj Fj trcpjf hfj prcgfr tãrgcim pmr fj au`hr`hm hfj sfkuihm tãrgcim au`hr`hm hfj sfkuihm tãrgcim Fj sfkuihm tãrgcim `j audm Fj sfkuihm tãrgcim `j audm

TFQVJX@HM TFQVJX@HM

 

z

Fofractfgms

Fj prcgfr tãrgcim `j audm Fj prcgfr tãrgcim `j audm

 





Fj trcpjf hfj au`hr`hm hfj prcgfr Fj trcpjf hfj hfjtãrgcim prcgfr tãrgcim pmrau`hr`hm fj sfkuihm tãrgcim pmr fj sfkuihm tãrgcim

 

Fj trcpjf hfj prcgfr tãrgcim pmr fj Fj trcpjf hfj prcgfr tãrgcim pmr fj au`hr`hm hfj sfkuihm tãrgcim au`hr`hm hfj sfkuihm tãrgcim

❐ 4  ∛ ∛ 

Fj sfkuihm tãrgcim `j audm Fj sfkuihm tãrgcim `j audm

TFQVJX@HM TFQVJX@HM

∛



 



4

∛



7

+ 

4

7 

4

7 



+  +



 

z

Fofractfgms

Fj prcgfr tãrgcim `j audm Fj prcgfr tãrgcim `j audm

 

Fj trcpjf hfj au`hr`hm hfj prcgfr Fj trcpjf hfj hfjtãrgcim prcgfr tãrgcim pmrau`hr`hm fj sfkuihm tãrgcim pmr fj sfkuihm tãrgcim

 ∛

Fj trcpjf hfj prcgfr tãrgcim pmr fj Fj trcpjf hfj prcgfr tãrgcim pmr fj au`hr`hm hfj sfkuihm tãrgcim au`hr`hm hfj sfkuihm tãrgcim

❐

∛

4

∛

∛



( ∔  ) 7½ 

4

4

(∔ ) 7 ( ∔  ) 7∔ 4 

Fj sfkuihm tãrgcim `j audm Fj sfkuihm tãrgcim `j audm

TFQVJX@HM TFQVJX@HM











∔





4

+ 4  ∔

4

 

z

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QVG@ ^MT QV HCEFTFIAC@ HC EFTFIAC@

Qf jj`g` QVG@ pmr HCEFTFIAC@ `j prmhuatm hf hms dcimgcms quf amgp`rtfi fj prcgfr tãrgcim y fj sfkuihm fs fj amitr`rcm. ^mr fofgpjm (x+4) y (x-4) m t`gdcãi (x+5) y (x-5). Fi fstms a`sms, `j gujtcpjca`rjms, mdtfihrfgms t`gdcãi ui dcimgcm, quf sfrà fj au`hr`hm hfj prcgfrm gfims fj au`hr`hm hfj sfkuihm. ^mr fofgpjm? (x+4)(x-4) 7 x4 ‑ 8 (x+1)(x-1) 7 x4 ‑ 3 (x+8)(x-8) 7 x4 ‑ 05 (`+6)(`-6)7 `4 ‑ 46

 

z

FOFTACXFGMQ

(   +  ) (   ∔  ) (  ∛  ) ∔ (  ∛  ) + (  ∛  ) ∔(  ∛  )  

4

∔    + 4

 

  

∔

∔

8

8

(  + 4 )(   ∔ 4 ) ) 4

 

+ 4   ∔ 4   ∔ 88 4

 

∔

88