因式分解(2x^2)^3-6x^3(x^3+2x^2+x)
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/08/17 15:59:45
因式分解(2x^2)^3-6x^3(x^3+2x^2+x)
化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3
(x+2)(x+4)+1
化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3
(x+2)(x+4)+1
![因式分解(2x^2)^3-6x^3(x^3+2x^2+x)](/uploads/image/z/19199983-31-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%882x%5E2%EF%BC%89%5E3-6x%5E3%28x%5E3%2B2x%5E2%2Bx%29)
(2x^2)^3-6x^3(x^3+2x^2+x)
=8x^6-6x^4(x^2+2x+1)
=2x^4[4x^2-(x^2+2x+1)]
=2x^4(3x^2-2x-1);
=2x^4(3x+1)(x-1)
2
(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2
=[(2a-3b)-(2a+3b)]^2
=[-6b]^2
=36·b^2
=4
3
(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2
=8x^6-6x^4(x^2+2x+1)
=2x^4[4x^2-(x^2+2x+1)]
=2x^4(3x^2-2x-1);
=2x^4(3x+1)(x-1)
2
(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2
=[(2a-3b)-(2a+3b)]^2
=[-6b]^2
=36·b^2
=4
3
(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2