Question

If (ax^3+2)^2 = a^2x^6 + X3+4​

Answer 1

$\small\bold{(ax^3+2)^2=a^2x^6+x^3+4}$

$\small\bold{a^2x^6+4+4ax^3=a^2x^6+x^3+4}$

$\bold{4ax^3=x^3}$

$\bold{4ax^3-x^3=0}$

$\bold{x^3(4a-1)=0}$

$\small \bold{So \: either \: x=0 \: or \: 4a-1=0}$

$\bold{or \: 4a=1}$

$\bold{ a = \frac{1}{4} }$