Factorise the following: 64 m^{3} - 343 n^{3} | vedclass

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Question

(A) Using the algebraic identity $x^{3} - y^{3} = (x - y)(x^{2} + xy + y^{2})$,we can factorise the expression.Given expression: $64m^{3} - 343n^{3}$T

Vedclass · Accepted Answer

$(4m - 7n)(16m^{2} + 28mn + 49n^{2})$

Vedclass · Answer

(A) Using the algebraic identity $x^{3} - y^{3} = (x - y)(x^{2} + xy + y^{2})$,we can factorise the expression.Given expression: $64m^{3} - 343n^{3}$This can be written as: $(4m)^{3} - (7n)^{3}$Applying the identity where $x = 4m$ and $y = 7n$:$(4m - 7n)((4m)^{2} + (4m)(7n) + (7n)^{2})$$= (4m - 7n)(16m^{2} + 28mn + 49n^{2})$

Factorise the following: $64 m^{3} - 343 n^{3}$

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