Simplify this expression: (8x^3 - 5 + x^2 + 7x) – (6x^3 - 5x + 10).?
回答 (4)
2010-02-02 4:05 pm
✔ 最佳答案
2 x ³ + x ² + 12 x - 15
2010-02-02 2:11 pm
(8x^3 - 5 + x^2 + 7x) - (6x^3 - 5x + 10)
= 8x^3 - 5 + x^2 + 7x - 6x^3 + 5x - 10
= 8x^3 - 6x^3 + x^2 + 7x + 5x - 5 - 10
= 2x^3 + x^2 + 12x - 15
= 2x^3 + 3x^2 + 15x - 2x^2 - 3x - 15
= (2x^3 + 3x^2 + 15x) - (2x^2 + 3x + 15)
= x(2x^2 + 3x + 15) - 1(2x^2 + 3x + 15)
= (2x^2 + 3x + 15)(x - 1)
= 8x^3 - 5 + x^2 + 7x - 6x^3 + 5x - 10
= 8x^3 - 6x^3 + x^2 + 7x + 5x - 5 - 10
= 2x^3 + x^2 + 12x - 15
= 2x^3 + 3x^2 + 15x - 2x^2 - 3x - 15
= (2x^3 + 3x^2 + 15x) - (2x^2 + 3x + 15)
= x(2x^2 + 3x + 15) - 1(2x^2 + 3x + 15)
= (2x^2 + 3x + 15)(x - 1)
2010-02-02 2:05 pm
(8x^3-5+x^2 + x ) - (6x^3-5x+10)
8x^3 - 6x^3 + x^2 -5x+7x -5+10
2x^3+x^2+2x+5
8x^3 - 6x^3 + x^2 -5x+7x -5+10
2x^3+x^2+2x+5
2010-02-02 1:11 pm
(8x^3 - 5 + x^2 + 7x) - (6x^3 - 5x + 10)
= 8x^3 - 5 + x^2 + 7x - 6x^3 + 5x - 10
= 2x^3 + x^2 + 12x - 15
= (x - 1)(2x^2 + 3x + 15)
= 8x^3 - 5 + x^2 + 7x - 6x^3 + 5x - 10
= 2x^3 + x^2 + 12x - 15
= (x - 1)(2x^2 + 3x + 15)
收錄日期: 2021-05-01 13:00:22
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