a) \(y^2+49-14y\)
\(=y^2-14y+49\)
\(=y^2-2\cdot7\cdot y+7^2\)
\(=\left(y-7\right)^2\)
b) \(a^2+4b^2-4ab\)
\(=a^2-4ab+4b^2\)
\(=a^2-2\cdot2b\cdot a+\left(2b\right)^2\)
\(=\left(a-2b\right)^2\)
c) \(y^2+y+\dfrac{1}{4}\)
\(=y^2+2\cdot\dfrac{1}{2}\cdot y+\left(\dfrac{1}{2}\right)^2\)
\(=\left(y+\dfrac{1}{2}\right)^2\)
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