Question

factorize: $a^{3} b -a^{2}b^{2} - b^{3}$

Answer 1

Question:

Factories:

$a^{3} b -a^{2}b^{2} - b^{3}$

Answer:

$\underline{ \: \underline{ \: \bold{ \sf \pink{ (a - b)( {a}^{2} + b)(a + {b}^{2} )}} \: } \: } \: is \: the \: value.$

Step-by-step explanation:

$\implies {a}^{3} - {a}^{2} {b}^{2} - {b}^{3}$

$\implies {a}^{3} + ab - ab - {b}^{3}$

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

$\implies \boxed{ (a - b)( {a}^{2} + b)(a + {b}^{2} )}$

$\underline{ \: \underline{ \: \bold{ (a - b)( {a}^{2} + b)(a + {b}^{2} )} \: } \: } \: is \: the \: value.$