close
標題:

12題因式分解

aa.jpg

 

此文章來自奇摩知識+如有不便請留言告知

發問:

因式分解 1. (x+y)^ - 49 2. 81-(x-y)^ 3. (x-y)^-y^ 4. (2x-y)^ -x^ 5. (a-b)^-(a+b)^ 6. (2a+b)^ - (a-b)^ 7. 4(2x+y)^+4(2x+y)+1 8.(x-y)^ - 8(x-y)+16 9. (x^-y^)+4x+4y 10. (4x^-y^)-8x-4y 11.4x^-(4y^-4yz+z^) 12. (x^+6xy+9y^)-16z^

最佳解答:

^係2次方呀可? 1)(x+y)^ - 49 =(x+y)^ - 7^ =(x+y+7)(x+y-7) 2)81 - (x-y)^ =9^ - (x-y)^ =[9 -(x-y)][9+(x+y)] =(9 - x+y)(9+x+y) 3)(x-y)^ - y^ =( x - y+y)(x - y - y) =x(x - 2y) 4)(2x - y)^ - x^ =(2x - y+x)(2x - y -x) =(3X - y)(x - y) 5)(a - b)^ - (a+b)^ =[a - b+(a+b)][a -b-(a + b)] =(a - b+a+b)(a - b - a - b) =2a(-2b) = - 4ab 6)(2a+b)^ - (a - b)^ =[2a+b+(a - b)][2a+b - (a - b)] =3a(a+2b) 7)4(2x+y)^+4(2x+y)+1 =[2(2x+y)+1]^ <------------------設(2x+y)=a , 則4a^+4a+1=(2a+1)^ =(4x+2y+1)^ 8)(x - y)^ - 8(x - y)+16 =[(x - y) - 4]^ <-------------------設(x - y)=b , 則b^ - 8b+16=(b - 4)^ =(x - y - 4)^ 9)(x^ - y^)+4x+4y =(x+y)(x - y)+4(x+y) =(x+y)(x - y+4) 10)(4x^ - y^) - 8x - 4y =(2x+y)(2x - y) - 4(2x+y) =(2x+y)(2x - y - 4) 11)4x^ - (4y^ - 4yz + z^) =(2x)^ - (2y - z)^ =[2x+(2y - z)][2x - (2y - z)] =(2x+2y - z)(2x - 2y+z) 12)(x^+6xy+9y^) - 16z^ =(x+3y)^ - (4z)^ =(x+3y+4z)(x+3y-4z)

其他解答:
arrow
arrow
    文章標籤
    方呀可 英文 因式分解 天平 文章
    全站熱搜

    ohe09nz81r 發表在 痞客邦 留言(0) 人氣()

    E-mail轉寄