Question

Factorise the following :
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Answer 1

See below

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)`

Answer 2

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)