因式分解:(1)4x^n+1-12x^n+9x^n-1;(2)(a^2+3a+2)(4a^2+8a+3)-90;(3)a
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:2024/08/18 00:12:09
因式分解:(1)4x^n+1-12x^n+9x^n-1;(2)(a^2+3a+2)(4a^2+8a+3)-90;(3)a^4+4
![因式分解:(1)4x^n+1-12x^n+9x^n-1;(2)(a^2+3a+2)(4a^2+8a+3)-90;(3)a](/uploads/image/z/16681138-34-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%894x%5En%2B1-12x%5En%2B9x%5En-1%EF%BC%9B%EF%BC%882%EF%BC%89%28a%5E2%2B3a%2B2%29%284a%5E2%2B8a%2B3%29-90%EF%BC%9B%EF%BC%883%EF%BC%89a)
(1)4x^n+1-12x^n+9x^n-1;
=x^(n-1)(4x²-12x+9)
=x^(n-1)(2x-3)²
(2)(a^2+3a+2)(4a^2+8a+3)-90;
=(a+1)(a+2)(2a+1)(2a+3)-90
=(a+1)(2a+3)(a+2)(2a+1)-90
=(2a²+5a+3)(2a²+5a+2)-90
=(2a²+5a)²+5(2a²+5a)+6-90
=(2a²+5a+12)(2a²+5a-7)
=(2a²+5a+12)(2a+7)(a-1)
(3)a^4+4
=a^4+4a²+4-4a²
=(a²+2)²-4a²
=(a²+2a+2)(a²-2a+2)
=x^(n-1)(4x²-12x+9)
=x^(n-1)(2x-3)²
(2)(a^2+3a+2)(4a^2+8a+3)-90;
=(a+1)(a+2)(2a+1)(2a+3)-90
=(a+1)(2a+3)(a+2)(2a+1)-90
=(2a²+5a+3)(2a²+5a+2)-90
=(2a²+5a)²+5(2a²+5a)+6-90
=(2a²+5a+12)(2a²+5a-7)
=(2a²+5a+12)(2a+7)(a-1)
(3)a^4+4
=a^4+4a²+4-4a²
=(a²+2)²-4a²
=(a²+2a+2)(a²-2a+2)
(3a^n-2)-6a^n+14a^n-1(因式分解) (m-n)^3+4(n-m)
数学题(代数)f(n-1)=(x-a)f(n-2)+a(x+a)^(n-2),f(n-2)=(x-a)f(n-3)+a(
3x的平方-4x-7 因式分解 a的2n次方+4a的n次方-12 a的2n+1次方-9a的n+1次方+8a
把下列各式因式分解(2m+3n)(2m-n)-4n(2m-n)(x+y)^2(x-y)+(x+y)(y-x)^24a(x
因式分解:1.(a-b)²+4a-4b 2.x的n次方+2x的n-1次方-4x的n-2次方 3.(7a-8b)
设A={x|x=2n+1,n∈N},B={x|1≤x≤10},C={x|x=3n,n∈N},求(A∩B)∩C
设A={x|x=2n+1,n属于N},B={x|1≤x≤10},C={x|x=3n,n属于N},求(A交B)交C.
因式分解:a(x-y)的n次方-3b(y-x)的n+1次方+2c(y-x)的n+2次方(n为正整数)
计算:(2a-3b)*2n x (3b-2a)*2n-1 x (3b-2a)*4n x (2a-3b)*2n+1
初一因式分解试题①32a(x^2+x)^2+2a②16+8(x^2+4x)+(x^2+4x)^2③3x^(n)y+9x^
计算题因式分解.1、(2a+b)(2a-3b)-3a(2a+b)2、2x^3-18xy^23、4(m+n)^2-(m-n
7(a-1)+x(a-1),3(a-b)²+6(b-a),2(m-n)²-m(m-n),x(x-y)