jules1028otjqgu jules1028otjqgu
  • 13-06-2018
  • Mathematics
contestada

Write (4x − 5)2 in expanded form using the polynomial identity (x − y)2 = x2 − 2xy + y2.

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carlosego
carlosego carlosego
  • 13-06-2018
For this case we have the following definition:
 [tex](x - y) ^ 2 = x ^ 2 - 2xy + y ^ 2 [/tex]
 We use the definition for the given polynomial.
 We have then:
 [tex](4x - 5) ^ 2 [/tex]
 Rewriting:
 [tex](4x - 5) ^ 2 = 16x ^ 2 - 40x + 25 [/tex]
 Answer:
 The polynomial in its expanded form is given by:
 [tex]16x ^ 2 - 40x + 25[/tex]
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