Polynomials=]]

2008-10-10 9:00 am
1. 27y-6y^2
2. 2x^2y+4xy
3. 3p^3-6p^2+9p
4. 11x^4+22x^2
5. 15p^2q-9pq^2
6. 14uv+49uv^2
7. 33a^2b^2+15a^2b-21ab^2
8. -6abc+48bcd
9. 14xy-21x^2y-28xy^2
10. 4pq^2r+10pqr^2-8pqr+16p^2qr
11. -9p^5q^2-15p^3q^2+27p^3q^3
12. r(4p+1)-2(4p+1)
13. (h+j)+5h(h+j)
14. h(5+3h)+3(10+6h)
15. a(b-c)+d(c-b)
16. -4x(y-z)+5y(z-y)
17. 3u(2w-v)v(3v-6w)

回答 (1)

2008-10-10 9:54 am
✔ 最佳答案
1.
27y - 6y2
= 3y(9y - 2y2)


2.
2x2y + 4xy
= 2xy(x + 2)

3.
3p3 - 6p2 + 9p
= 3p(p2 - 2p + 3)
= 3p(p + 1)(p - 3)

4.
11x4 + 22x2
= 11x2(x2 + 2)

5.
15p2q - 9pq2
= 3pq(5p - 3q)

6.
14uv + 49uv2
= 7uv(2 + 7v2)

7.
33a2b2 + 15a2b -21ab2
= 3ab(11ab + 5a - 7b)

8.
-6abc + 48bcd
= 6bc(-a + 8d)
= 6bc(8d - a)

9.
14xy - 21x2y - 28xy2
= 7xy(2 - 3x - 4y)

10.
4pq2r + 10pqr2 - 8pqr + 16p2qr
= 2pqr(2q + 5r - 4 + 8p)

11.
-9p5q2 - 15p3q2 + 27p3q3
= 3p3q2(-3p2 - 3 + 9q)
= 3p3q2(9q - 3p2 - 3)

12.
r(4p + 1) - 2(4p + 1)
= (r - 2)(4p + 1)

13.
(h + j) + 5h(h + j)
= 1(h + j) + 5h(h + j)
= (1 + 5h)(h + j)

14.
h(5 + 3h) + 3(10 + 6h)
= h(5 + 3h) + 6(5 + 3h)
= (h + 6)(5 + 3h)

15.
a(b - c) + d(c - b)
= a(b - c) - d(b - c)
= (a - d)(b - c)

16.
-4x(y - z) + 5y(z - y)
= 4x(z - y) + 5y(z - y)
= (4x + 5y)(z - y)

17.
3u(2w - v)v(3v - 6w)
= 3u(2w - v)vŸ3(v - 2w)
= 3u(2w - v)vŸ(-3)(2w - v)
= -9v(2w - v)2
=


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