CaineBenoy
CaineBenoy CaineBenoy
  • 18-05-2019
  • Mathematics
contestada

Factorise
[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{4} [/tex]
​

Respuesta :

jamesphantos11
jamesphantos11 jamesphantos11
  • 18-05-2019

Answer:

1/4(x+y)(x-y)

Step-by-step explanation:

We can first factor out the shared 1/4 and it now looks like,

1/4(x^2-y^2)

Since x^2-y^2 is a difference of squares, which is a^2-b^2 = (a+b)(a-b), we can change x^2-y^2 to (x+y)(x-y). So our answer is:

1/4(x+y)(x-y)

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