Question

Factorise the following :​

Answer 1

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 2

Answer:

See below

Step-by-step explanation:

$(ii) \\ \\ {x}^{3} + 2 {x}^{2} + 5x + 10 \\ \\ = {x}^{2} (x + 2) + 5(x + 2) \\ \\ = (x + 2)( {x}^{2} + 5) \\ \\ (iii) \\ {a}^{3} - {a}^{2} {b}^{2} - ab + {b}^{3} \\ \\ = {a}^{2} (a - {b}^{2} ) - b(a - {b}^{2} ) \\ \\ = (a - {b}^{2} )( {a}^{2} - b)$