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01-11-2018
Mathematics

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which polynomial is equivalent to (5n+2)^2

Respuesta :

01-11-2018

Use the formula for perfect square:

[tex](a+b)^2=a^2+2ab+b^2.[/tex]

Then

[tex](5n+2)^2=(5n)^2+2\cdot 5n\cdot 2+2^2.[/tex]

Since

[tex](5n)^2=5^2\cdot n^2=25n^2,[/tex]

you get

[tex](5n+2)^2=25n^2+20n+4.[/tex]

Answer: [tex]25n^2+20n+4.[/tex]

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