Matemáticas, pregunta formulada por xd578562, hace 15 días

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Contestado por IvyChen
1

( -  {m}^{2} + 6 ) + ( - 4 {m}^{2} + 7m + 2 ) =  \\  -  {m}^{2}  + 6  - 4 {m}^{2}  + 7m + 2 =  \\ ( -  {m}^{2}  - 4 {m}^{2} ) + 7m + (6 + 2) =  \\  - 5 {m}^{2}  + 7m + 8

( - 4 {x}^{4}  +  {x}^{2} - 4 ) + (5 {x}^{2}  - 4) =  \\  - 4 {x}^{4}  +  {x}^{2}  - 4 + 5 {x}^{2}  - 4 =  \\ - 4 {x}^{4}  +  ( {x}^{2}  + 5 {x}^{2} ) + ( - 4 - 4) =  \\  - 4 {x}^{4}  + 6 {x}^{2}  + ( - 8) =  \\  - 4 {x}^{4}  + 6 {x}^{2}  - 8

( -  {t}^{3} + 5 {t}^{2} - 6t  ) + (8 {t}^{2}  - 8t) =  \\  -  {t}^{3}  + 5 {t}^{2}  - 6t + 8 {t}^{2}  - 8t =  \\ -  {t}^{ 3}   + (5 {t}^{2}  + 8 {t}^{2} ) + ( - 6t - 8t) =  \\  -  {t}^{3}  + 13 {t}^{2}  + ( - 14t) =  \\  -  {t}^{3}  + 13 {t}^{2}  - 14t =  \\ t( -  {t}^{2} + 13t - 14 )

( - 3 {y}^{2} - 5y - 2 ) + ( - 7 {y}^{2}  + 5y + 2) =  \\  - 3 {y}^{2}  - 5y - 2 - 7 {y}^{2}  + 5y + 2 =  \\ ( - 3 {y}^{2}  - 7 {y}^{2} ) + ( - 5y + 5y) + ( - 2 + 2) =  \\  - 10 {y}^{2}

(4 {v}^{3}  - 3 {v}^{2} + 2v ) + (3 {v}^{3}  + 6 {v}^{2} - 9v ) =  \\ 4 {v}^{3}  - 3 {v }^{2}  + 2v + 3 {v}^{3}  + 6 {v}^{2}  - 9v =  \\ (4 {v}^{3}  + 3 {v}^{3} ) + ( - 3 {v}^{2} + 6 {v}^{2}  ) + (2v - 9v) = \\  7 {v}^{3}  + 3 {v}^{2}  + ( - 7v) =  \\ 7 {v}^{3}  + 3 {v}^{2}  - 7v =  \\ v(7 {v}^{2}  + 3v - 7)

( - 4 {b}^{2} + 8b ) + ( - 4 {b}^{3} + 5 {b}^{2}  - 8b ) =  \\  - 4 {b}^{2}  + 8b - 4 {b}^{3}  + 5 {b}^{2}  - 8b =  \\  -  4 {b}^{3}  + ( - 4 {b}^{2} + 5 {b}^{2}  ) + (8b - 8b) =  \\  - 4 {b}^{3}  +  {b}^{2}  =  \\  {b}^{2} ( - 4b + 1)

(3 {x}^{3}  + 4 {x}^{2} ) + (3 {x}^{3}  - 4{x}^{2} - 9x ) =  \\ 3 {x}^{3}  + 4 {x}^{2}  + 3 {x}^{3}  - 4 {x}^{2}  - 9x  = \\ (3 {x}^{3}  + 3 {x}^{3} ) + (4 {x}^{2}  - 4 {x}^{2} ) - 9x =  \\ 6 {x}^{3}  - 9x =  \\ 3x(2 {x}^{2} - 3 )

( - 2 {k}^{3} - 7 {k}^{2}  + 5k ) + (6 {k}^{2}  + 3k) =  \\  - 2 {k}^{3}  - 7 {k}^{2}  + 5k + 6 {k}^{2}  + 3k =  \\  - 2 {k}^{3}  + ( - 7 {k}^{2} + 6 {k}^{2}  ) + (5k + 3k) =  \\  - 2 {k}^{3}  + ( -  {k}^{2} ) + 8k =  \\  - 2 {k}^{3}  -  {k}^{2}  + 8k =  \\ k ( - 2 {k}^{2}  - k + 8)

(7 {a}^{3}  - 2a - 2) + ( - 5a + 3) =  \\ 7 {a}^{3}  - 2a - 2 - 5a + 3 =  \\ 7 {a}^{3}   + ( - 2a - 5a) + ( - 2 + 3) =  \\ 7 {a}^{3}  + ( - 7a) + 1 =  \\ 7 {a}^{3}  - 7a + 1

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