Runner9638 Runner9638
  • 25-02-2022
  • Mathematics
contestada

Factor completely x2 − 10x 25. (x − 5)(x − 5) (x 5)(x 5) (x 5)(x − 5) (x − 25)(x − 1).

Respuesta :

iciclepiano18
iciclepiano18 iciclepiano18
  • 25-02-2022

Answer:

[tex](x-5)(x-5)[/tex]

Step-by-step explanation:

We need to find two numbers that multiply to get 25 and have a sum of -10...

(-5)(-5)=25

-5-5=-10

We can split -10x into -5x and -5x:

[tex]x^2-5x-5x+25[/tex]

Factor each half of the expression separately:

[tex]x(x-5)-5(x-5)[/tex]

Since both x and -5 are being multiplied by (x-5), we can combine them to get:

[tex](x-5)(x-5)[/tex]

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