Question

factorise (m²)²-18m²n²+81(n²)²​

Answer 1

solution

$(m {}^{2} ) {}^{2} - 18m {}^{2}n {}^{2} + 81(n {}^{2} ) {}^{2} \\ = (m {}^{2} ) {}^{2} - 2.(m {}^{2} )(9n {}^{2} ) + (9n {}^{2} ) {}^{2} \\ = (m {}^{2} - 9n {}^{2} ) {}^{2} \\ = (m {}^{2} - (3n) {}^{2} ) {}^{2} \\ = (m + 3n) {}^{2} (m - 3n) {}^{2} \\ = (m + 3n)(m + 3n)(m - 3n)(m - 3n)$

Answer 2

Answer:

$m {}^4 - 18 {m}^2 {n}^2 + 81 {n}^4 \\ \sqrt{ {m}^4 } - 18 {m}^2 {n}2 + \sqrt{81 {n}^4 } \\ {m}^2 - 2 ( {m}^2)( {9n}^2) + 9 {n}^2 \\ ( {m}^2 - 9 {n}^2) ^2$

Hey mate this might help you.