Question

Simplifique a fração algébrica dada:
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Answer 1

$\frac{y^{2} -16y+64}{y^{2}-64 }$

Factorizar $y^{2} -16y+64 = (y-8)^{2}$

$\frac{(y-8)^{2} }{y^{2}-64 }$

Factorizar $y^{2} -64 =(y+8)(y-8)$

$\frac{(y-8)^{2} }{(y+8)(y-8)}$

Eliminar o factor comum y-8

$=\frac{y-8}{y+8}$

Answer 2

Resposta:

Factorizar y^{2} -16y+64 = (y-8)^{2}y2−16y+64=(y−8)2

\frac{(y-8)^{2} }{y^{2}-64 }y2−64(y−8)2

Factorizar y^{2} -64 =(y+8)(y-8)y2−64=(y+8)(y−8)

\frac{(y-8)^{2} }{(y+8)(y-8)}(y+8)(y−8)(y−8)2

Eliminar o factor comum y-8

=\frac{y-8}{y+8}=y+8y−8