Question

Express (5/6x + 4) 2 as trinomial in simplest form (2 is an exponent)

Answer 1

We are given the expression (5/6x + 4)^2 and we are asked to express it as a trinomial in the simplest form.

To do this, we will be using the FOIL method. FOIL stands for First-Outer-Inner-Last.

The product will then be:

`\begin{gathered} ((5)/(6)x+4)^2=((5)/(6)x+4)((5)/(6)x+4) \\ \\ ((5)/(6)x+4)^2=((5)/(6)x)^2+((5)/(6)x)(4)+(4)((5)/(6)x)+4(4) \\ \\ ((5)/(6)x+4)^2=(25)/(36)x^2+(10)/(3)x+(10)/(3)x+16 \\ \\ ((5)/(6)x+4)^2=(25)/(36)x^2+(20)/(3)x+16 \end{gathered}`

So, the final answer is 25/36 x^2 + 20/3 x + 16.