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# Factorise the following: (ii) 63 m ^3 - 343 n ^3

10.(ii) Factorise the following:

(ii)    $64m^3 - 343n^3$

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We know that

$a^3-b^3=(a-b)(a^2+b^2+ab)$

Now, we can write  $64m^3 - 343n^3$  as

$\Rightarrow 64m^3 - 343n^3 = (4m)^3-(7n)^3$

Here,  $a = 4m \ \ and \ \ b = 7n$

Therefore,

$64m^3-343n^3= (4m-7n)\left((4m)^2+(7n)^2+4m.7n \right )$

$64m^3-343n^3= (4m-7n)\left(16m^2+49n^2+28mn \right )$

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