Question

if f (x) = x cube + 3 then find f(a)-f(b)​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

Given that

$\rm :\implies\:f(x) = {x}^{3} + 3$

So,

$\rm :\implies\:f(a) = {a}^{3} + 3$

and

$\rm :\implies\:f(b = {b}^{3} + 3$

Therefore,

$\rm :\implies\:f(a) - f(b)$

$\rm :\implies\: {a}^{3} + 3 - {b}^{3} - 3$

$\rm :\implies\: {a}^{3} - {b}^{3}$

$\rm :\implies\:(a - b)( {a}^{2} - ab + {b}^{2} )$