Explicación paso a paso:
a.
[tex] - 14 {x}^{3} + 12 {x}^{2} - 17 + 11 - (24 {x}^{3} + 63 {x}^{2} - 13) \\ - 14 {x}^{3} + 12 {x}^{2} - 6 - 24 {x}^{3} - 63 {x}^{2} + 13 \\ - 38 {x}^{3} - 51 {x}^{2} + 7[/tex]
b.
[tex]103 {u}^{3} + 48 {u}^{2} - 15u + 19 - (83 {u}^{3} + 46 {u}^{2} - 11u + 16) \\ 103 {u}^{3} + 48 {u}^{2} - 15u + 19 - 83 {u}^{3} - 46 {u}^{2} + 11u - 16 \\ 20 {u}^{3} + 2 {u}^{2} - 4u + 3[/tex]
c.
[tex]74 {m}^{7} + 11 {m}^{2} + 15m - 19 - (17 {m}^{6} + 5 {m}^{3} + 48 {m}^{2} - 15m + 24) \\ 74 {m}^{7} + 11 {m}^{2} + 15m - 19 - 17 {m}^{6} - 5 {m}^{3} - 48 {m}^{2} + 15m - 24 \\ 74 {m}^{7} - 17 {m}^{6} - 5 {m}^{3} - 37 {m}^{2} - 43[/tex]
d.
[tex] {a}^{4} + 23 {a}^{3} + {a}^{2} + a + 1 - ( - {a}^{4} - 14 {a}^{3} + 24 {a}^{2} - 21a + 17 \\ {a}^{4} + 23 {a}^{3} + {a}^{2} + a + 1 + {a}^{4} + 14 {a}^{3} - 24 {a}^{2} + 21a - 17 \\ 2 {a}^{4} - {a}^{3} - 23 {a}^{2} + 22a - 16[/tex]
e.
[tex] - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 - (27 {a}^{3} + 48 {a}^{2} -19a + 24) \\ - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 \\ - 54 {a}^{3} - 96 {a}^{2} + 38a[/tex]
f.
[tex]( - 15 {x}^{4} + 42 {x}^{3} y + 23 {x}^{2} {y}^{2} - 16x {y}^{3} - {y}^{4} ) - (13 {x}^{4} + 16 {x}^{3} y + 14 {x}^{2} {y}^{2} - 15 {y}^{4} ) \\ - 15 {x}^{4} + 42 {x}^{3} y + 23 {x}^{2} {y}^{2} - 16x {y}^{3} - {y}^{4} - 13 {x}^{4} - 16{x}^{3} y - 14 {x}^{2} {y}^{2} - 15 {y}^{4} \\ - 28 {x}^{4} + 26 {x}^{3} y + 9 {x}^{2} {y}^{2} - 16x {y}^{3} - 16 {y}^{4} [/tex]
g.
[tex] {x}^{2} + {y}^{2} - ( - 5 {x}^{2} + 17xy + {y}^{2} ) \\ {x}^{2} + {y}^{2} + 5 {x}^{2} - 17xy - {y}^{2} \\ 6 {x}^{2} - 17xy[/tex]
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Verified answer
Explicación paso a paso:
a.
[tex] - 14 {x}^{3} + 12 {x}^{2} - 17 + 11 - (24 {x}^{3} + 63 {x}^{2} - 13) \\ - 14 {x}^{3} + 12 {x}^{2} - 6 - 24 {x}^{3} - 63 {x}^{2} + 13 \\ - 38 {x}^{3} - 51 {x}^{2} + 7[/tex]
b.
[tex]103 {u}^{3} + 48 {u}^{2} - 15u + 19 - (83 {u}^{3} + 46 {u}^{2} - 11u + 16) \\ 103 {u}^{3} + 48 {u}^{2} - 15u + 19 - 83 {u}^{3} - 46 {u}^{2} + 11u - 16 \\ 20 {u}^{3} + 2 {u}^{2} - 4u + 3[/tex]
c.
[tex]74 {m}^{7} + 11 {m}^{2} + 15m - 19 - (17 {m}^{6} + 5 {m}^{3} + 48 {m}^{2} - 15m + 24) \\ 74 {m}^{7} + 11 {m}^{2} + 15m - 19 - 17 {m}^{6} - 5 {m}^{3} - 48 {m}^{2} + 15m - 24 \\ 74 {m}^{7} - 17 {m}^{6} - 5 {m}^{3} - 37 {m}^{2} - 43[/tex]
d.
[tex] {a}^{4} + 23 {a}^{3} + {a}^{2} + a + 1 - ( - {a}^{4} - 14 {a}^{3} + 24 {a}^{2} - 21a + 17 \\ {a}^{4} + 23 {a}^{3} + {a}^{2} + a + 1 + {a}^{4} + 14 {a}^{3} - 24 {a}^{2} + 21a - 17 \\ 2 {a}^{4} - {a}^{3} - 23 {a}^{2} + 22a - 16[/tex]
e.
[tex] - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 - (27 {a}^{3} + 48 {a}^{2} -19a + 24) \\ - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 - 27 {a}^{3} - 48 {a}^{2} + 19a - 24 \\ - 54 {a}^{3} - 96 {a}^{2} + 38a[/tex]
f.
[tex]( - 15 {x}^{4} + 42 {x}^{3} y + 23 {x}^{2} {y}^{2} - 16x {y}^{3} - {y}^{4} ) - (13 {x}^{4} + 16 {x}^{3} y + 14 {x}^{2} {y}^{2} - 15 {y}^{4} ) \\ - 15 {x}^{4} + 42 {x}^{3} y + 23 {x}^{2} {y}^{2} - 16x {y}^{3} - {y}^{4} - 13 {x}^{4} - 16{x}^{3} y - 14 {x}^{2} {y}^{2} - 15 {y}^{4} \\ - 28 {x}^{4} + 26 {x}^{3} y + 9 {x}^{2} {y}^{2} - 16x {y}^{3} - 16 {y}^{4} [/tex]
g.
[tex] {x}^{2} + {y}^{2} - ( - 5 {x}^{2} + 17xy + {y}^{2} ) \\ {x}^{2} + {y}^{2} + 5 {x}^{2} - 17xy - {y}^{2} \\ 6 {x}^{2} - 17xy[/tex]