急!!!65點!!!多項式!!

2013-08-08 9:45 pm
1. 化簡多項式(2X2次-7pq2次)-(-4q+q3次)+2q3次,並按q的降冪排列。

2. 展開下列題目,並按x的降羃排列。
2a. (2x2次-y)(4y-5x) 2b. (3x2次-x+1)(x+2)

回答 (1)

2013-08-08 10:07 pm
✔ 最佳答案
1. (2x^2 - 7pq^2) - (-4q + q^3) + 2q^3
= 2x^2 - 7pq^2 + 4q - q^3 + 2q^3
= 2x^2 - 7pq^2 + 4q + q^3
= q^3 - 7pq^2 + 4q + 2x^2

2.(a) (2x^2 - y)(4y - 5x)
= 2x^2(4y - 5x) - y(4y - 5x)
= 8yx^2 - 10x^3 - 4y^2 + 5xy
= -10x^3 + 8yx^2 + 5xy - 4y^2

2.(b) (3x^2 - x + 1)(x + 2)
= 3x^2(x + 2) - x(x + 2) + 1(x + 2)
= 3x^3 + 6x^2 - x^2 - 2x + x + 2
= 3x^3 + 5x^2 - x + 2

2x^2 即是 2x 的 2 次方


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