a) \(=x^3-8\)
b) \(=\left(2x\right)^3+1=8x^3+1\)
c) \(=1-\left(\dfrac{x}{2}\right)^3=1-\dfrac{x^3}{8}\)
d) \(=y^3-\left(\dfrac{x}{y}\right)^3\)
a) \(M=x^3+27\)
b) \(N=1-\left(3x\right)^3=1-27x^3\)
c) \(P=x^3-\left(\dfrac{1}{2}\right)^3=x^3-\dfrac{1}{8}\)
d) \(Q=\left(2x\right)^3+\left(3y\right)^3=8x^3+27y^3\)
a: (x-2)(x^2+2x+4)=x^3-2^3=x^3-8
b; (2x+1)(4x^2-2x+1)
=(2x)^3+1^3
=8x^3+1
c: (1-x/2)(1+x/2+x^2/4)
=1-(x/2)^3
=1-1/8x^3
d: (y-x/y)(y^2+x+x^2/y^2)
=y^3-(x/y)^3
=y^3-x^3/y^3
a: (x+3)(x^2-3x+9)
=x^3+3^3
=x^3+27
b: (1-3x)(1+3x+9x^2)
=1^3-(3x)^3
=1-27x^3
c: (x-1/2)(x^2+1/2x+1/4)
=x^3-(1/2)^3
=x^3-1/8
d: (2x+3y)(4x^2-6xy+9y^2)
=(2x)^3+(3y)^3
=8x^3+27y^3