Question

factorise 27m^3-343n^3​

Answer 1

Answer:

27m^3-343n^3

(3m)^3-(7n)^3

(3m-7n){(3m)^2+3n×7n+(7n)^2}

(3m-7n)(3m+7n)^2

(3m-7n)(3m+7n)(3m+7n)

I think it's help you

Answer 2

$\boxed{\huge{\bf{\purple{ANSWER:}}}}$

Hello Dear User__________

Here is Your Answer...!!

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Step by step solution:

$we \ have \ to \ factorise \ it.\\\\Let \ us \ do\\\\27m^3-343n^3\\\\Using \ identity\\\\a^3-b^3=(a-b)(a^2+ab+b^2)\\\\(27m^3-343n^3)=(2m)^3-(7n)^3\\\\(27m^3-343n^3)=(2m-7n)((2m)^2+2m\times7n+(7n)^2)\\\\(27m^3-343n^3)=(2m-7n)(4m^2+14mn+49n^2)$

Hope it is clear to you.