帮解分解因式(^2就是 的平方)

来源:百度知道 编辑:UC知道 时间:2024/05/26 20:22:49
1 (x+y)^2-16(x-y)^2

2 49(x-y)^2-16(x+y)^2

3 4-12(a+b)+9(a+b)^2

4 5x^3-20xy^2

5 x^2-2x(y+z)+(y+z)^2

6 4ab^2-4a^2b-b^3

7 x^4-y^4

8 (a^2+4)^2-16a^2

9 x^4-8x^2y^2+16y^4

10 a(x-y)+b(y-x)-c(x-y)

11 x(a+b)+y(b+a)-(a+b)

12 x^2-2xy^2+y^3

13 2a^2+6a+9/2
答案能打上编号吗?

懒啊,自己不算叫别人给你算
汗~~~~~~~~这个又不难,不好好读书,打PP
1. (x+y)^2-16(x-y)^2=(x+y)^2-(4x-4y)^2=(x+y+4x-4y)(x+y-4x+4y)=(5x-3y)(5y-3x)
2. 49(x-y)^2-16(x+y)^2=(7x-7y)^2-(4x+4y)^2=(7x-7y+4x+4y)(7x-7y-4x-4y)=(11x-3y)(3x-11y)
3. 4-12(a+b)+9(a+b)^2=[2-3(a+b)]^2=(2-3a-3b)^2
4. 5x^3-20xy^2=5x(x^2-4y^2)=5x(x+2y^2)(x-2y^2)
5. x^2-2x(y+z)+(y+z)^2 =(x-y-z)^2
6. 4ab^2-4a^2b-b^3=-b(-4ab+4a^2+b^2)=-b(2a-b)^2
7. x^4-y^4=(x^2+y^2)(x^2-y^2)=(x^2+y^2)(x+y)(x-y)
8. (a^2+4)^2-16a^2 =(a^2+4+4a)(a^2+4-4a)=(a+2)^2(a-2)^2
9. x^4-8x^2y^2+16y^4=(x^2-4y^2)^2=(x+2y)^2(x-2y)^2
10. a(x-y)+b(y-x)-c(x-y) =(a-b-c)(x-y)
11. x(a+b)+y(b+a)-(a+b)=(x+y-1)(a+b)
12. x^2-2xy^2+y^3题目打错?若是 x^2y-2xy^2+y^3=y(x-y)^2
13. 2a^2+6a+9/2=2(a+3/2)^2

5x(2y-3x)

(3x-11y)(11x-3y)

(2-3a-3b)^2

5x(x+2y)(x-2y)

(x-y-z)^2

-b(2a-b)^2

(x^2+y^2)(x+t)(x-y)

(a+2)^2(a-2)^2

(x-y)(a-b-c)

(a