Question

Answer 1

a) \(=x^3-3.x^2.2+3.x.2^2-2^3\)

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

b)

\(=\left(-2x\right)^3+3.\left(-2x\right)^2.1+3.\left(-2x\right).1^2+1^3\)

\(=\left(-2x+1\right)^3\)

c)

\(=x^3-3.x^2.\dfrac{1}{2}y+3.x.\left(\dfrac{1}{2}y\right)^2-\left(\dfrac{1}{2}y\right)^3\)

\(=\left(x-\dfrac{1}{2}y\right)^3\)

d)

\(=\left(x-y\right)^3+3.\left(x-y\right)^2.2+3.\left(x-y\right).2^2+2^3\)

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

 

Answer 2

\(a,=\left(x-2\right)^3\\ b,=\left(-2x+1\right)^3\\ c,=\left(x-\dfrac{1}{2}y\right)^3\\ d,=\left[\left(x-y\right)+2\right]^3\)