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

User Owen Stephens
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1 Answer

17 votes
17 votes

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.

Express (5/6x + 4) 2 as trinomial in simplest form (2 is an exponent)-example-1
User Usman Masood
by
3.0k points
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