Respuesta :

Answer:

2(x - 2)² - 7

Step-by-step explanation:

2x² - 8x + 1 ( factor out 2 from the first 2 terms )

= 2(x² - 4x) + 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

= 2(x² + 2(- 2)x + 4 - 4) + 1

= 2(x - 2)² - 8 + 1

= 2(x - 2)² - 7

Answer- 2(x-2)²-3

Step-by-step explanation:

Greetings !

given expression

[tex]2x {}^{2} - 8x + 1[/tex]

Thus, when you change it in the form of

[tex]a(x + b) {}^{2} + c[/tex]

we get the expression as

[tex]2(x -2 ) {}^{2} - 3 \\ [/tex]

simplify it and we get it as

[tex]2(x - 2) {}^{2} - 3 \\ 2(x {}^{2} - 4x + 4) - 3 [/tex]

Hope it helps!

distribute and multiply

[tex]2x {}^{2} - 8x + 4 - 3 \\ 2x { }^{2} - 8x + 1[/tex]