m^2-5m-mn+5n 因式分解再加几道x^2-4xy-21y^2(x+2y)^2-4(x+2y)y-21y^2(x^2+x)^2-14(x^2+x)+24x(x+z)-y(y+z)ab(c^2-d^2)-(a^2-b^2)cd

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 04:00:52
m^2-5m-mn+5n 因式分解再加几道x^2-4xy-21y^2(x+2y)^2-4(x+2y)y-21y^2(x^2+x)^2-14(x^2+x)+24x(x+z)-y(y+z)ab(c^2-d^2)-(a^2-b^2)cd

m^2-5m-mn+5n 因式分解再加几道x^2-4xy-21y^2(x+2y)^2-4(x+2y)y-21y^2(x^2+x)^2-14(x^2+x)+24x(x+z)-y(y+z)ab(c^2-d^2)-(a^2-b^2)cd
m^2-5m-mn+5n 因式分解
再加几道
x^2-4xy-21y^2
(x+2y)^2-4(x+2y)y-21y^2
(x^2+x)^2-14(x^2+x)+24
x(x+z)-y(y+z)
ab(c^2-d^2)-(a^2-b^2)cd

m^2-5m-mn+5n 因式分解再加几道x^2-4xy-21y^2(x+2y)^2-4(x+2y)y-21y^2(x^2+x)^2-14(x^2+x)+24x(x+z)-y(y+z)ab(c^2-d^2)-(a^2-b^2)cd
m²-5m-mn+5n
=m(m-5)-n(m-5)
=(m-5)(m-n)
x²-4xy-21y²
=(x-7y)(x+3y)
(x+2y)²-4(x+2y)y-21y²
=[(x+2y)-7y][(x+2y)+3y]
=(x-5y)(x+5y)
(x²+x)²-14(x²+x)+24
=[(x²+x)-12][(x²+x)-2]
=(x²+x-12)(x²+x-2)
=(x-3)(x+4)(x-1)(x+2)
x(x+z)-y(y+z)
=x²+xz-y²-yz
=(x²-y²)+z(x-y)
=(x+y)(x-y)+z(x-y)
=(x-y)(x+y+z)
ab(c²-d²)-(a²-b²)cd
=abc²-abd²-cda²+cdb²
=(abc²-cda²)-(abd²-cdb²)
=ac(bc-ad)-bd(ad-bc)
=ac(bc-ad)+bd(bc-ad)
=(bc-ad)(ac+bd)