Question

(m⁸ + 11nr³) (m⁸ - 11nr³)= ____ - ____

Answer 1

✔PROPIEDAD:
(a+b)(a-b)=a²-b²
✔ENTONCES:
$(m {}^{8} + 11nr {}^{3})( m {}^{8} - 11 nr {}^{3} ) \\ reemplazamos \: como \: esta \: en \: l a \\ propiedad \: y \: decimos \: que..\\ a = m {}^{8} \\ b = 11nr {}^{3} \\ (m {}^{8} + 11nr {}^{3})( m {}^{8} - 11 nr {}^{3}) \\ = a {}^{2} - b {}^{2} = (m {}^{8} ) {}^{2} - (11nr {}^{3} ) {}^{2} \\ = m {}^{16} - 11 {}^{2} n {}^{2} r {}^{6} \\ = m {}^{16} - 121n {}^{2} r {}^{6}$