亲,帮我解几道数学题哦、、1-m-n+mn4x^2+3z-3xz-4xx^3y+3x-3x^2y^2-6y6ax+15b^2y^24a^2-b^2+6a-3b9m^2+6mn-3m-n+n^24x^2-y^2+2x-ya^3-b^3-a+bx^4y+2x^3y^2-x^2y-2xy^2
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 17:16:30
亲,帮我解几道数学题哦、、1-m-n+mn4x^2+3z-3xz-4xx^3y+3x-3x^2y^2-6y6ax+15b^2y^24a^2-b^2+6a-3b9m^2+6mn-3m-n+n^24x^2-y^2+2x-ya^3-b^3-a+bx^4y+2x^3y^2-x^2y-2xy^2
亲,帮我解几道数学题哦、、
1-m-n+mn
4x^2+3z-3xz-4x
x^3y+3x-3x^2y^2-6y
6ax+15b^2y^2
4a^2-b^2+6a-3b
9m^2+6mn-3m-n+n^2
4x^2-y^2+2x-y
a^3-b^3-a+b
x^4y+2x^3y^2-x^2y-2xy^2
亲,帮我解几道数学题哦、、1-m-n+mn4x^2+3z-3xz-4xx^3y+3x-3x^2y^2-6y6ax+15b^2y^24a^2-b^2+6a-3b9m^2+6mn-3m-n+n^24x^2-y^2+2x-ya^3-b^3-a+bx^4y+2x^3y^2-x^2y-2xy^2
1-m-n+mn=(1-m)-n(1-m)=(1-m)(1-n)
4x^2+3z-3xz-4x=4x²-3xz-4x+3z=x(4x-3z)-(4x-3z)
x^3y+3x-3x^2y^2-6y=x³y-3x²y²+3x-6y= 这个有问题
6ax+15b^2y^2=3(ax+5b²y²)
4a^2-b^2+6a-3b=(2a+b)(2a-b)+3(2a-b)=(2a-b)(2a+b-3)
9m^2+6mn-3m-n+n^2=9m²+6mn+n²-3m-n=(3m+n)²-(3m+n)=(3m+n)(3m+n-1)
4x^2-y^2+2x-y=(2x+y)(2x-y)+(2x-y)=(2x-y)(2x+y+1)
a^3-b^3-a+b=(a-b)(a²+ab+b²)-(a-b)=(a-b)(a²+ab+b²-1)
x^4y+2x^3y^2-x^2y-2xy^2=x³y(x+2y)-xy(x+2y)=xy(x+2y)(x²-1)=xy(x+2y)(x+1)(x-1)