Question

Efetue as operações indicadas:
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Answer 1

Resposta:

$a) \: (2 {x}^{3} - {3x}^{2} + x - 1) + (5 {x}^{3} + 6 {x}^{2} - 7x + 3) \\ 2 {x}^{3} - 3 {x}^{2} + x - 1 + 5 {x}^{3} + 6 {x }^{2} - 7x + 3 \\ 7 {x}^{3} + 3 {x}^{2} - 6x + 2$

$b) \: (8 {y}^{2} - 12y + 5) + (7 {y}^{2} - 8) \\ 8 {y}^{2} - 12y + 5 + 7 {y}^{2} - 8 \\ 15 {y}^{2} - 12y - 3$

$c) \: (2 {ax}^{3} - 5 {a}^{2} x - 4by) + (5 {ax}^{3} - 7 {a}^{2} x + 6by) \\ 2 {ax}^{3} - 5 {a}^{2} x - 4by + 5 {ax}^{3} + 7 {a}^{2} x + 6by \\ 7 {ax}^{3} + 2 {a}^{2} x + 2by$

$d) \: ( {a}^{2} - {b}^{2} ) + ( {a}^{2} - 3 {b}^{2} - c) + (5c - 2 {b}^{2} - {a}^{2} ) \\ {a}^{2} - {b}^{2} + {a}^{2} - 3 {b}^{2} - c + 5c - 2 {b}^{2} - {a}^{2} \\ {a}^{2} - {6b}^{2} + 4c$

$e) \: (3 {y}^{2} - 2y - 6) + (7 {y}^{2} + 8y + 5) \\ 3 {y}^{2} - 2y - 6 + 7 {y}^{2} + 8y + 5 \\ 10 {y}^{2} + 6y - 1$

$f) \: (8 {x}^{3} + 4 {x}^{2} + 3x - 5) + (6 {x}^{3} + 7 {x}^{2} + 5x + 9) \\ 8 {x}^{3} + {4x}^{2} + 3x - 5 + 6 {x}^{3} + 7 {x}^{2} + 5x + 9 \\ 14 {x}^{3} + 11 {x}^{2} + 8x + 4$

$g) \: (2 {x}^{3} - 3x + 1) + (4 {x}^{2} + 3) \\ 2 {x}^{3} - 3x + 1 + 4 {x}^{2} + 3 \\ 2 {x}^{3} + 4 {x}^{2} - 3x + 4$