Question

[hello Đạt]

mik ko bít làm

Answer 1

[Nguyễn Lê Phước Thịnh]

a: \(x^2+8x+16=x^2+2\cdot x\cdot4+4^2=\left(x+4\right)^2\)

b: \(9x^2-24x+16=\left(3x\right)^2-2\cdot3x\cdot4+4^2=\left(3x-4\right)^2\)

c: \(x^2-3x+\frac94=x^2-2\cdot x\cdot\frac32+\left(\frac32\right)^2=\left(x-\frac32\right)^2\)

d: \(4x^2y^4-4xy^3+y^2\)

\(=\left(2xy^2\right)^2-2\cdot2xy^2\cdot y+y^2\)

\(=\left(2xy^2-y\right)^2\)

e: \(\left(x-2y\right)^2-4\left(x-2y\right)+4\)

\(=\left(x-2y\right)^2-2\cdot\left(x-2y\right)\cdot2+2^2\)

\(=\left(x-2y-2\right)^2\)

f: \(\left(x+3y\right)^2-12xy\)

\(=x^2+6xy+9y^2-12xy\)

\(=x^2-6xy+9y^2=\left(x-3y\right)^2\)