Simplify the equation 49y^2 - 14y + 1 to obtain in form of a^2 - 2ab + b^2.
[tex]49y^2-14y+1=(7y)^2-2\cdot7y\cdot1+(1)^2[/tex]So value of a = 7y and b = 1.
(b)
The formula for a^2 - 2ab + b^2 is,
[tex]a^2-2ab+b^2=(a-b)^2[/tex]So equation after completing the square,
[tex]\begin{gathered} 49y^2-14y\cdot1+1^{}=(7y)^2-2\cdot7y\cdot1+(1)^2 \\ =(7y-1)^2 \end{gathered}[/tex]So answer is,
[tex]49y^2-14y+1=(7y-1)^2[/tex]