Respuesta :
b) m¹⁰-81n¹²=
m²*⁵-9²n²*⁶
(m⁵)²-9²(n⁶)²
(m⁵)²-(9n⁶)²
(m⁵-9n⁶)*(m⁵+9n⁶)
_____________
[tex]c) {x}^{6} - 24 {x}^{3} + 143 = \\ {x}^{6} - 11 {x}^{3} - 13 {x}^{3} + 143 \\ {x}^{3} ( {x}^{3} - 11) - 13( {x}^{3} - 11) \\ \bf \: ( {x}^{3} - 11)( {x}^{3} - 13)[/tex]
⭐ Saludos Amiga ⭐ ˖♡w♡˖
Solución:
[tex] \green{ \bf{b) \: m {}^{10} - 81n {}^{12} }}[/tex]
[tex] \orange{ \bf{m {}^{2 \times 5} - 9 \: \: {}^{2} n {}^{2 \times 6} }}[/tex]
[tex] \blue{ \bf{(m {}^{5} ) {}^{2} - 9 {}^{2} (n {}^{6} ) {}^{2} }}[/tex]
[tex] \pink{ \bf{(m {}^{5} ) {}^{2} - (9n {}^{6} ) {}^{2} }}[/tex]
[tex] \green{ \bf{(m {}^{5} - 9n {}^{6} )* \: (m {}^{5} + 9n {}^{6}) }}[/tex]
[tex] \red{ \bf{\begin{gathered}c) {x}^{6} - 24 {x}^{3} + 143 = \\ {x}^{6} - 11 {x}^{3} - 13 {x}^{3} + 143 \\ {x}^{3} ( {x}^{3} - 11) - 13( {x}^{3} - 11) \\ \bf \: ( {x}^{3} - 11)( {x}^{3} - 13)\end{gathered} }}[/tex]