m^6-n^6 factorise
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m^6-n^6 factorise

 Solution : Given m^6-n^6 

=(m^2)^3-(n^2)^3

=(m^2-n^2) {(m^2)^2+(m^2)(n^2)+(n^2)^2

=(m^2-n^2) {(m^4+(m^2)(n^2)+(n^2)^2}

=(m^2-n^2) {(m^4+(m^2)(n^2)+(n^4}

=(m-n)(m+n) {(m^4+(m^2)(n^2)+(n^4}

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