Please answer this using the foil method{9x}^(2) + 60x + 100

Question

Please answer this using the foil method
`{9x}^(2) + 60x + 100`

Answer 1

Given expression

`9x^2+60x+100`

By factorization, we have

`\begin{gathered} 9x^2+30x+30x+100 \\ 3x(3x+10)+10(3x+10) \\ (3x+10)(3x+10) \end{gathered}`

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