Respuesta :

Answer:

[tex] 5 {(x - 4)}^{2} [/tex]

Step-by-step explanation:

[tex]5 {x}^{2} - 40x + 80 \\ =5( {x}^{2} - 8x + 16) \\ = 5 ( {x}^{2} - 8x + {4}^{2} ) \\ = 5 {(x - 4)}^{2} [/tex]

Answer:

[tex]\boxed{\sf \ \ \ 5(x-4)^2 \ \ \ }[/tex]

Step-by-step explanation:

hello

step 1 - divide by 5

[tex]5x^2-40x+80=5(x^2-8x+16)[/tex]

step 2 - solving the square

[tex](x-4)^2=x^2-8x+16[/tex]

Finally, to answer the question

[tex]5x^2-40x+80=5(x-4)^2[/tex]

hope this helps