kelisakwilliams kelisakwilliams
  • 17-12-2018
  • Mathematics
contestada

What are the factors of x2 – 100?

(x – 50)(x + 50)
(x – 10)(x + 10)
(x – 25)(x + 4)
(x – 5)(x + 20)

Respuesta :

parmesanchilliwack parmesanchilliwack
  • 17-06-2019

Answer:

(x-10)(x+10)

Step-by-step explanation:

Here, the given expression,

[tex]x^2-100[/tex]

[tex]=(x)^2-(10)^2[/tex]

By using the identity [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]=(x+10)(x-10)[/tex]

[tex]=(x-10)(x+10)[/tex]   ( By the commutative property )

Since, further factorization is not possible,

Hence, the factors of [tex]x^2-100[/tex] are,

[tex](x-10)(x+10)[/tex]

Second option is correct.

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