Taty2002
Taty2002 Taty2002
  • 25-02-2020
  • Mathematics
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What is x^2 +2x+1 divides by x-4

What is x2 2x1 divides by x4 class=

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EmmaEllis123
EmmaEllis123 EmmaEllis123
  • 25-02-2020

Answer:

[tex]\frac{(x+1 )^{2} }{x-4}[/tex]

Step-by-step explanation:

Step 1. Rewrite [tex]x^{2}[/tex] + 2x + 1 in the form [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex], where a = x and b = 1.

[tex]\frac{x^{2}+2(x)(1)+1^{2} }{x-4}[/tex]

Step 2. Use Square of Sum: [tex](a + b)^{2}[/tex] = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]

[tex]\frac{(x+1 )^{2} }{x-4}[/tex]

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