Question

Answer 1

3B:

a: \(4x^2+4x+1=\left(2x+1\right)^2\)

b: \(x^2-8x+16=\left(x-4\right)^2\)

c: \(x^2-x+\dfrac{1}{4}=\left(x-\dfrac{1}{2}\right)^2\)

d: \(4x^2y^4-12xy^2+9=\left(2xy^2-3\right)^2\)

Answer 2

3A:

a: \(x^2+4x+4=\left(x+2\right)^2\)

b: \(9x^2-12x+4=\left(3x-2\right)^2\)

c: \(\dfrac{x^2}{4}+x+1=\left(\dfrac{1}{2}x+1\right)^2\)

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

Answer 3

2B:

a: \(\left(x+y\right)^2=x^2+2xy+y^2\)

b: \(\left(x-2y\right)^2=x^2-4xy+4y^2\)

c: \(\left(xy^2+1\right)\left(xy^2-1\right)=x^2y^4-1\)

d: \(\left(x+y\right)^2\cdot\left(x-y\right)^2=\left(x^2-y^2\right)^2=x^4-2x^2y^2+y^4\)