Respuesta :

Answer

Given expression

[tex]9x^2+60x+100[/tex]

By factorization, we have

[tex]\begin{gathered} 9x^2+30x+30x+100 \\ 3x(3x+10)+10(3x+10) \\ (3x+10)(3x+10) \end{gathered}[/tex]

Now to check, using FOIL method, we have

F = First, i.e 3x(3x) = 9x²

O = Outer = 3x(+10) = +30x

I = Inner = +10(3x) = +30x

L = Last = +10(+10) = +100

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