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Sagot :
Given
m² + m/3
Find
Complete the square to make a perfect square trinomial.
Explanation
Assume the missing part of the expression be k
so , the equation becomes ,
[tex]m^2+\frac{1}{3}m+k[/tex]to solve for k , we need to square the half the coefficient of m.
since the coefficient of m is 1/3 , then
k =
[tex]\begin{gathered} (\frac{1}{2}\times\frac{1}{3})^2 \\ \\ (\frac{1}{6})^2 \\ \\ \frac{1}{36} \end{gathered}[/tex]hence ,
[tex]\begin{gathered} m^2+\frac{1}{3}m+\frac{1}{36} \\ (m+\frac{1}{6})^2 \end{gathered}[/tex]Final Answer
Hence , the result as binomial squared is
[tex](m+\frac{1}{6})^2[/tex]
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