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  • 14-02-2021
  • Mathematics
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. y2 + 28y +

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lublana
lublana lublana
  • 14-02-2021

Answer:

[tex]y^2+28y+196[/tex]

Step-by-step explanation:

We are given that

[tex]y^2+28y+..[/tex]

We have to fill in the number that makes the polynomial a perfect square quadratic.

We know that

[tex](a+b)^2=a^2+2\times a\times b+b^2[/tex]

Using the formula

Expand the expression

[tex](y)^2+2\times y\times 14+(14)^2[/tex]

[tex](y+14)^2[/tex]

[tex]=y^2+28y+196[/tex]

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