分解因式:①a²+2a(b+c)+(c+b)²②m²x²+2m²xy+m²y²③(2x-3y)(m+n)+(3x-2y)(m+n)④6x(x+y)³+3(y-x)³计算(-3a³)²·a³+(-4a)²·a^7-(3a³)³
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/30 11:00:08
分解因式:①a²+2a(b+c)+(c+b)²②m²x²+2m²xy+m²y²③(2x-3y)(m+n)+(3x-2y)(m+n)④6x(x+y)³+3(y-x)³计算(-3a³)²·a³+(-4a)²·a^7-(3a³)³
分解因式:①a²+2a(b+c)+(c+b)²②m²x²+2m²xy+m²y²
③(2x-3y)(m+n)+(3x-2y)(m+n)④6x(x+y)³+3(y-x)³
计算(-3a³)²·a³+(-4a)²·a^7-(3a³)³
分解因式:①a²+2a(b+c)+(c+b)²②m²x²+2m²xy+m²y²③(2x-3y)(m+n)+(3x-2y)(m+n)④6x(x+y)³+3(y-x)³计算(-3a³)²·a³+(-4a)²·a^7-(3a³)³
①a²+2a(b+c)+(c+b)²
=a²+2a(b+c)+(b+c)²
=(a+b+c)²
②m²x²+2m²xy+m²y²
=(mx+my)²
③(2x-3y)(m+n)+(3x-2y)(m+n)
=(m+n)(2x-3y+3x-2y)
=(m+n)(5x-5y)
=5(m+n)(x-y)
④6x(x+y)³+3(y-x)³
=6(x^3+3x^2*y+3xy^2+y^3)+3(x^3+3xy^2-3x^2y-y^3)
=9x^3+27xy^2+9x^2y+3y^3
=3(3x^3+9xy^2+3x^2y+y^3)
自己分析一下吧.(-3a³)²·a³+(-4a)²·a^7-(3a³)³
=-3a^9+16a^9-27a^9
=-14a^9
(a+b+c)² 你把b+c看成x就容易了 =m²(x²+2xy+y²)=m²(x+y)² =(m+n)(2x-3y+3x-2y)=5(m+n)(x-y) 题目抄的有问题? =9a^9+16a^9-27a^9=-2a^9
(a+b)²,
m²(x+y)²
5(x-y)(m+n)
④不清楚
-2a^9
①a²+2a(b+c)+(c+b)²
=(a+b+c)²
②m²x²+2m²xy+m²y²
=m²(x²+2xy+y²)
=m²(x+y)²③(2x-3y)(m+n)+(3x-2y)(m+n)
=(m+n)(2x-3y+3x-2y...
全部展开
①a²+2a(b+c)+(c+b)²
=(a+b+c)²
②m²x²+2m²xy+m²y²
=m²(x²+2xy+y²)
=m²(x+y)²③(2x-3y)(m+n)+(3x-2y)(m+n)
=(m+n)(2x-3y+3x-2y)
=(m+n)(5x-5y)
=5(m+n)(x-y)
④6x(x+y)³+3(y-x)³
=
计算(-3a³)²·a³+(-4a)²·a^7-(3a³)³
=9a^9+16a^9-27a^9
=-2a^9
收起