Question

Answer 1

a) \(x^2+8x+16\)

\(=x^2+2.4.x+4^2\)

\(=\left(x+4\right)^2\)

b) \(9x^2-24x+16\)

\(=\left(3x\right)^2-2.4.3x+4^2\)

\(=\left(3x-4\right)^2\)

c) \(x^2-3x+\dfrac{9}{4}\)

\(=x^2-2.\dfrac{3}{2}.x+\left(\dfrac{3}{2}\right)^2\)

\(=\left(x-\dfrac{3}{2}\right)^2\)

d) \(4x^2y^4-4xy^3+y^2\)

\(=\left(2xy^2\right)^2-2.2xy^2.y+y^2\)

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

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

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

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

f) \(\left(x+3y\right)^2-12xy\)

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

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

\(=\left(x-3y\right)^2\)

Answer 2

lú quá

Answer 3

`a,=(x+4)^2`

`b,=(3x-4)^2`

`c,=(x-3/2)^2`

`d,=(2xy^2-y)^2`

`e,=(x-2y-2)^2`

`f,=x^2-6xy+9y^2=(x-3y)^2`

HĐT số 1,2: `A^2+-2AB+B^2=(A-B)^2`