Question

Factorize: a³-5√5b³​

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)

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