Question

factorizar:
1)
$x^{3} + 125$
2)
$343 {m}^{6} - 8 {n}^{9}$
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Answer 1

Respuesta:

1) Suma perfecta de binomios.

${x}^{3} + 125 \\ {x}^{3} + {5}^{3} \\ (x + 5)( {x}^{2} - 5 \times x + {5}^{2} ) \\ (x + 5)( {x}^{2} - 5x + 25)$

2) Resta perfecta de binomios.

$343 {m}^{6} - 8 {n}^{9} \\ {7}^{3} {m}^{3 \times 2} - {2}^{3} ( {n}^{3} {)}^{3} \\ (7 {m}^{2} {)}^{3} - (2 {n}^{3} {)}^{3} \\ (7 {m}^{2} - 2 {n}^{3} )((7 {m}^{2} {)}^{2} + 7 {m}^{2} \times 2 {n}^{3} + (2 {n}^{3} {)}^{2} \\ (7 {m}^{2} - 2 {n}^{3} )(49 {m}^{4} + 14 {m}^{2} {n}^{3} + 4 {n}^{6} )$

Answer 2

Explicación:

1)

$1)(x + 5)(x^{2} - 5x + 25)$

2)

$(7m^{2} - 2n^{3})(49m^{4} + 14m^{2} n ^{3} + 4n^{6} )$