Question

Factorise: (a^3)-(2√2b^3)

Answer 1

(a)³ - (2√2b³)

(a)³ - (√2b)³

we know,

a³ - b³ = (a - b)(a² + ab + b²)

so,

a³ -(√2b)³ = ( a-√2b)(a² + √2²b² + √2ab)

=( a -√2b)(a² + 2b² + √2ab)

hence, ( a -√2b) and ( a² +2b² +√2ab) are the factors of a³ -(2√2b³)

Answer 2

hi friend,

a³-(2√2b³)=a³-(√2b)³

we know that a³-b³=(a-b)(a²+ab+b²)


=(a-√2b)(a²+√2ab+2b²)


I hope this will help u :)