Happygirl2062 Happygirl2062
  • 12-05-2021
  • Mathematics
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Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).

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MrRoyal
MrRoyal MrRoyal
  • 13-05-2021

Answer:

[tex]a^2 + 2ab + b^2[/tex]

Step-by-step explanation:

Given

[tex](a + b)^2[/tex]

Required

Express as a standard polynomial

We have:

[tex](a + b)^2[/tex]

Rewrite as:

[tex](a + b)(a + b)[/tex]

Open bracket

[tex]a^2 + ab + ab + b^2[/tex]

Add like terms

[tex]a^2 + 2ab + b^2[/tex]

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