Factorise the following :

Answer:
2.
x³+2x²+5x+10
x²(x+2)+5(x+2)
taking common
(x+2)(x²+5) is your answer
a³-a²b²-ab+b³
taking common
a²(a-b²)-b(a-b²)
taking common
(a-b²)(a²-b)
Answer:
See below
Step-by-step explanation:
[tex](ii) \\ \\ {x}^{3} + 2 {x}^{2} + 5x + 10 \\ \\ = {x}^{2} (x + 2) + 5(x + 2) \\ \\ = (x + 2)( {x}^{2} + 5) \\ \\ (iii) \\ {a}^{3} - {a}^{2} {b}^{2} - ab + {b}^{3} \\ \\ = {a}^{2} (a - {b}^{2} ) - b(a - {b}^{2} ) \\ \\ = (a - {b}^{2} )( {a}^{2} - b)[/tex]