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

10.(ii) Factorise the following:

      (ii)    64m^3 - 343n^3

Answers (1)

best_answer

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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Riya

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