If m - 5n = 2,then the value of (m^3 - 125n^3 | vedclass

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(B) We use the algebraic identity $(x - y)^3 = x^3 - y^3 - 3xy(x - y)$.Given the expression $(m - 5n)^3$,we substitute $x = m$ and $y = 5n$:$(m - 5n)^

Vedclass · Accepted Answer

$8$

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(B) We use the algebraic identity $(x - y)^3 = x^3 - y^3 - 3xy(x - y)$.Given the expression $(m - 5n)^3$,we substitute $x = m$ and $y = 5n$:$(m - 5n)^3 = m^3 - (5n)^3 - 3(m)(5n)(m - 5n)$$(m - 5n)^3 = m^3 - 125n^3 - 15mn(m - 5n)$Substitute the given value $m - 5n = 2$ into the equation:$(2)^3 = m^3 - 125n^3 - 15mn(2)$$8 = m^3 - 125n^3 - 30mn$Therefore,the value of $(m^3 - 125n^3 - 30mn)$ is $8$.

If $m - 5n = 2$,then the value of $(m^3 - 125n^3 - 30mn)$ is

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