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Descompuneti in factori: 36(x-2)^2 - 25(x+1)^2

Răspuns :

Răspuns:

36(x-2)^2-25(x+1)^2

6(x-2)-5(x+1)×6(x-2)+5(x+1)

(6x -12-5x-5)(6×-12+5x+5)

( x-17)(11x-7)

Răspuns: [tex]\red{\underline{\bf (6-17)\cdot(11x-7)}}[/tex]

Explicație pas cu pas:

[tex]\bf 36(x-2)^2-25(x+1)^2 =[/tex]

[tex]\bf 6^2\cdot(x-2)^2-5^2\cdot(x+1)^2 =[/tex]

[tex]\bf [6\cdot(x-2)]^2-[5\cdot(x+1)]^2 =[/tex]

[tex]\bf [6(x-2)-5(x+1)]\cdot[6(x-2)+5(x+1)]=[/tex]

[tex]\bf (6x-12-5x-5)\cdot(6x-12+5x+5)=[/tex]

[tex]\red{\underline{\bf (6-17)\cdot(11x-7)}}[/tex]

[tex]==pav38==[/tex]