UC知道急需分解因式答案,唔该帮帮手啦!
来源：百度知道 编辑：UC知道 时间：2024/05/19 07:28:18
(1)0.25q^2-121p^2
(2)169x^2-4y^2
(3)9a^2p^2-b^2q^2
(4)49/4a^2-x^2y^2
(5)(m+n)^2-n^2
(6)49(a-b)^2-16(a+b)^2
(7)(2x+y)^2-(x+2y)^2
(8)(x^2+y^2)^2-x^2y^2
(2)169x^2-4y^2
(3)9a^2p^2-b^2q^2
(4)49/4a^2-x^2y^2
(5)(m+n)^2-n^2
(6)49(a-b)^2-16(a+b)^2
(7)(2x+y)^2-(x+2y)^2
(8)(x^2+y^2)^2-x^2y^2
(1)0.25q^2-121p^2=(0.5q+11p)(0.5q-11p)
(2)169x^2-4y^2=(13x+2y)(13x-2y)
(3)9a^2p^2-b^2q^2=(3ap+bq)(3ap-bq)
(4)49/4a^2-x^2y^2=(7/2a+xy)(7/2a-xy)
(5)(m+n)^2-n^2=(m+n+n)(m+n-n)=m(m+2n)
(6)49(a-b)^2-16(a+b)^2=(7a-7b+4a+4b)(7a-7b-4a-4b)=(11a-3b)(3a-11b)
(7)(2x+y)^2-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)
(8)(x^2+y^2)^2-x^2y^2=(x^2+y^2+xy)(x^2+y^2-xy)