因式分解啊!!!!明天要交作业 谢谢了

来源:百度知道 编辑:UC知道 时间:2024/07/04 17:49:57
1. (a-b)(a²-ab+b²)-ab(b-a)
2. (7a-8b)(a-2b)+(a-8b)(a-2b)
3. x²-xy-2y²
4. (m-n)²-(m-n)-12
5. -2a五次方b平方+8a四次方b-8a三次方
要过程啊

1. (a-b)(a²-ab+b²)-ab(b-a)
=(a-b)(a²-ab+b²)+ab(a-b)
=(a-b)(a²-ab+b²+ab)
=(a-b)(a²+b²)

2. (7a-8b)(a-2b)+(a-8b)(a-2b)
=(a-2b)[(7a-8b)+(a-8b)]
=(a-2b)(8a-16b)
=8(a-2b)²

3. x²-xy-2y²
=(x+y)(x-2y)

4. (m-n)²-(m-n)-12
=[(m-n)+3][(m-n)-4]
=(m-n+3)(m-n-4)

5. -2a五次方b平方+8a四次方b-8a三次方
=-2a^3(a²b²-4ab+4)
=-2a^3(ab-2)²

(a-b)(a^2-ab+b^2)-ab(b-a)
=a(a^2-ab+b^2)-b(a^2-ab+b^2)-ab^2+ba^2
=a^3-ba^2+ab^2-ba^2+ab^2-b^3-ab^2+ba^2
=a^3+ab^2-ba^2-b^3

(7a-8b)(a-2b)+(a-8b)(a-2b)
=7a(a-2b)-8b(a-2b)+a(a-2b)-8b(a-2b)
=7a^2-14ab-8ab-16b^2+a^2-2ab-8ab+16b^2
=7a^2-32ab+a^2

x^2-xy-2y^2
=x(x-y)-2y^2
=X^2-y(X-2y)

(m-n)^2-(m-n)-12
=m^2-2mn+n^2-m+n-12
=m(m-2n-1)+n(n+1)-12

(-2a^5)(b^2)+8ba^4-8a^2
=2a^2[4ba^2-(a^3)(b^2)-4]

1.(a-b)(a²