Respuesta:
16)
[tex] {2x}^{3} - 6x + {x}^{2} - 3 \\ ( {2x}^{3} + {x}^{2} ) ( - 6x - 3) \\ {x}^{2} (2x + 1) \\ - 3(2x + 1) \\ ( {x}^{2} - 3) \times (2x + 1)[/tex]
17)
[tex] {3x}^{3} + {2x}^{2} - 3x - 2 \\ ( {3x}^{3} - 3x) + ( {2x}^{2} - 2) \\ 3x( {x}^{2} - 1) \\ 2( {x}^{2} - 1) \\ (3x + 2) \times ( {x}^{2} - 1)[/tex]
18)
[tex] {2x}^{5} + {2x}^{3} + {x}^{4} + {x}^{2} \\ ( {2x}^{5} + {2x}^{3} ) + ( {x}^{4} + {x}^{2} ) \\ {2x}^{3} ( {x}^{2} + 1) \\ {x}^{2} ( {x}^{2} + 1) \\ ( {2x}^{3} + {x}^{2} ) \times ( {x}^{2} + 1)[/tex]
21)
[tex] {10x}^{3} - 4x + {15x}^{2} - 6 \\ ( {10x}^{3} + {15x}^{2} ) + ( - 4x - 6) \\ 5 {x}^{2} (2x + 3) \\ - 2(2x + 3) \\ ( {5x}^{2} - 2) \times (2x + 3)[/tex]
22)
[tex] {3x}^{3} + {2x}^{2} + 12x + 8 \\ ( {3x}^{3} + {2x}^{2} ) + (12x + 8) \\ {x}^{2} (3x + 2) \\ 4(3x + 2) \\ ( {x}^{2} + 4) \times (3x + 2)[/tex]
23)
[tex] {5x}^{3} - {6x}^{2} + 10x - 12 \\ ( {5x}^{3} + 10x) + ( - 6 {x}^{2} - 12) \\ 5x( {x}^{2} + 2) \\ - 6( {x}^{2} + 2) \\ (5x - 6) \times ( {x}^{2} + 2)[/tex]
Espero te sirva :)
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Verified answer
Respuesta:
16)
[tex] {2x}^{3} - 6x + {x}^{2} - 3 \\ ( {2x}^{3} + {x}^{2} ) ( - 6x - 3) \\ {x}^{2} (2x + 1) \\ - 3(2x + 1) \\ ( {x}^{2} - 3) \times (2x + 1)[/tex]
17)
[tex] {3x}^{3} + {2x}^{2} - 3x - 2 \\ ( {3x}^{3} - 3x) + ( {2x}^{2} - 2) \\ 3x( {x}^{2} - 1) \\ 2( {x}^{2} - 1) \\ (3x + 2) \times ( {x}^{2} - 1)[/tex]
18)
[tex] {2x}^{5} + {2x}^{3} + {x}^{4} + {x}^{2} \\ ( {2x}^{5} + {2x}^{3} ) + ( {x}^{4} + {x}^{2} ) \\ {2x}^{3} ( {x}^{2} + 1) \\ {x}^{2} ( {x}^{2} + 1) \\ ( {2x}^{3} + {x}^{2} ) \times ( {x}^{2} + 1)[/tex]
21)
[tex] {10x}^{3} - 4x + {15x}^{2} - 6 \\ ( {10x}^{3} + {15x}^{2} ) + ( - 4x - 6) \\ 5 {x}^{2} (2x + 3) \\ - 2(2x + 3) \\ ( {5x}^{2} - 2) \times (2x + 3)[/tex]
22)
[tex] {3x}^{3} + {2x}^{2} + 12x + 8 \\ ( {3x}^{3} + {2x}^{2} ) + (12x + 8) \\ {x}^{2} (3x + 2) \\ 4(3x + 2) \\ ( {x}^{2} + 4) \times (3x + 2)[/tex]
23)
[tex] {5x}^{3} - {6x}^{2} + 10x - 12 \\ ( {5x}^{3} + 10x) + ( - 6 {x}^{2} - 12) \\ 5x( {x}^{2} + 2) \\ - 6( {x}^{2} + 2) \\ (5x - 6) \times ( {x}^{2} + 2)[/tex]
Espero te sirva :)