Question

a^3 - 2√2 Factorize.

Answer 1

Answer:

(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

Answer: (a-√2)(a²+√2a+2)

Step-by-step explanation-

(a)³-(√2)³

Identity- a³-b³ = (a+b)(a²+ab+b²)

(a+√2)[a²+√2a+(√2)²]

(a+√2)(a²+√2a+2)