a, \(4x^2-4x+1=\left(2x-1\right)^2\)
b, \(x^2+4xy+4y^2=\left(x+2y\right)^2\)
c, \(4x^2+4xy+y^2=\left(2x+y\right)^2\)
d, \(x^2+12xy+36y^2=\left(x+6y\right)^2\)
e, \(x^2-12xy+36y^2=\left(x-6y\right)^2\)
a, \(4x^2-4x+1\)
\(=4x^2-2x-2x+1=2x.\left(2x-1\right)-\left(2x-1\right)\)
\(=\left(2x-1\right)^2\)
b, \(x^2+4xy+4y^2\)
\(=x^2+2xy+2xy+4y^2\)
\(=x.\left(x+2y\right)+2y.\left(x+2y\right)\)
\(=\left(x+2y\right)^2\)
Chúc bạn học tốt!!! (bạn nhờ mình giải chi tiết bài này á)
c, \(4x^2+4xy+y^2\)
\(=4x^2+2xy+2xy+y^2\)
\(=2x.\left(2x+y\right)+y.\left(2x+y\right)\)
\(=\left(2x+y\right)^2\)
d, \(x^2+12xy+36y^2\)
\(=x^2+6xy+6xy+36y^2\)
\(=x.\left(x+6y\right)+6y.\left(x+6y\right)\)
\(=\left(x+6y\right)^2\)
e, \(x^2-12xy+36y^2\)
\(=x^2-6xy-6xy+36y^2\)
\(=x.\left(x-6y\right)-6y.\left(x-6y\right)\)
\(=\left(x-6y\right)^2\)