egarcia202739 egarcia202739
  • 19-03-2022
  • Mathematics
contestada

Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Respuesta :

semsee45
semsee45 semsee45
  • 19-03-2022

Answer:

[tex]-(x-y)^2[/tex]

Step-by-step explanation:

Original expression:

[tex]-x^2+2xy-y^2[/tex]

Factor out -1:

[tex]\implies -(x^2-2xy+y^2)[/tex]

Factor [tex]x^2-2xy+y^2[/tex]:

[tex]\implies -(x-y)(x-y)[/tex]

Apply exponent rule [tex]aa=a^2[/tex]:

[tex]\implies -(x-y)^2[/tex]

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