Question

Square binomial using Binomial Squares Pattern (simplify) ( x + 6/7)^2

Answer 1

We need to simplify the expression:

`\mleft(x+(6)/(7)\mright)^2`

We can use the following identity:

`(a+b)^(2)=a^(2)+2ab+b^(2)`

In this problem, we have:

`\begin{gathered} a=x \\ \\ b=(6)/(7) \end{gathered}`

Thus, we obtain:

`\begin{gathered} \mleft(x+(6)/(7)\mright)^2=x^2+2\cdot x\cdot(6)/(7)+\mleft((6)/(7)\mright)^2 \\ \\ \mleft(x+(6)/(7)\mright)^2=x^(2)+(12)/(7)x+(36)/(49) \end{gathered}`

Therefore, after simplifying, we obtain:

`x^2+(12)/(7)x+(36)/(49)`