Question

one of the factors of m power 8 - 11m power 4 npower 4 - 80n power 8 is
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Answer 1

${m}^{8} - 11 {m}^{4} {n}^{4} - 80 {n}^{8} \\ = {m}^{8} - 16 {m}^{4} {n}^{4} + 5 {m}^{4} {n}^{4} - 80 {n}^{8} \\ = {m}^{4} ( {m}^{4} - 16 {n}^{4}) + 5 {n}^{4} ( {m}^{4} - 16 {n}^{4} ) \\ = ( {m}^{4} + 5 {n}^{4} )( {m}^{4} - 16 {n}^{4} )$