Question

Factorise - m³-125n³​

Answer 1

Step-by-step explanation:

m³-125n³

=>a³-b³=(a-b)(a²+ab-b²) Identity

(m)³-(5n)³

(m-5n)[m²-5mn-(5n)²]

(m-5n)(m²-5mn-25n²)

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Answer 2

$\sf{\red{\boxed{\bold{Solution}}}}$

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$\sf:\implies \: {\bold{ m^3 - 125n^3}}$

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$\sf:\implies \: {\bold{ (m)^3 - (5n)^3 }}$

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$\sf{\red{\boxed{\bold{a^3 - b^3 = ( a - b ) (a^2 + ab + b^2) }}}}$

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$\sf:\implies \: {\bold{ ( m - 5n ) ( m^2 + 5n\times m + (5n)^2)}}$

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$\sf:\implies \: {\bold{( m - 5n ) ( m^2 + 5mn + 25n^2) }}$

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