因式分解:(1)x^3-4x;(2)(a^2+1)^2-4a^2;(3)2(1-x)^2+6a(x-1)^2;
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/25 03:30:02
因式分解:(1)x^3-4x;(2)(a^2+1)^2-4a^2;(3)2(1-x)^2+6a(x-1)^2;
(4)x^4-a^4;
(5)(x^2-1)^2+6(x^2-1)+9;
(6)m^2-12m+36.
(4)x^4-a^4;
(5)(x^2-1)^2+6(x^2-1)+9;
(6)m^2-12m+36.
:(1)x^3-4x
=x(x²-4)=x(x+2)(x-2)
(2)(a^2+1)^2-4a^2
=a^4+2a²+1-4a²
=a^4-2a²+1
=(a²-1)²
=(a+1)²(a-1)²
(3)2(1-x)^2+6a(x-1)^2;
=(x-1)^2(2+6a)
(4)x^4-a^4;
=(x²+a²)(x²-a²)
=(x²+a²)(x+a)(x-a)
(5)(x^2-1)^2+6(x^2-1)+9;
=(x²-1+3)²
=(x²+2)²
(6)m^2-12m+36.
=(m-6)²
=x(x²-4)=x(x+2)(x-2)
(2)(a^2+1)^2-4a^2
=a^4+2a²+1-4a²
=a^4-2a²+1
=(a²-1)²
=(a+1)²(a-1)²
(3)2(1-x)^2+6a(x-1)^2;
=(x-1)^2(2+6a)
(4)x^4-a^4;
=(x²+a²)(x²-a²)
=(x²+a²)(x+a)(x-a)
(5)(x^2-1)^2+6(x^2-1)+9;
=(x²-1+3)²
=(x²+2)²
(6)m^2-12m+36.
=(m-6)²
(1) 3a^3+6a^2+3a (2)x^2(x-y)+9(y-x) (3)(x^2+4)^2-16x^2 因式分解
因式分解:1/2a^2(x-2a)^2-3/4a(2a-x)^3
(x+a)(x+2a)(x+3a)(x+4a)+a^4如何因式分解?
因式分解(x+a)(x+2a)(x+3a)(x+4a)+a^4
因式分解 2x²-4x+2 x²-3x-28 a^3+a²-a-1
因式分解:x^4+x^2-2ax+1-a^2
因式分解x^4+x^2+2ax+1-a^2
因式分解x^4+x^2-2ax-a^2+1
x^4+x^2-2ax-a+1因式分解
因式分解:a³-5a²-24a 4x²-3x-10 x²-(2m-1)x+m
1.9a^2-2b-b^2-6a 2.x^3-4x^2-x+4 3.x^4-4x^2+4x-1 因式分解 急
2x的四次方-x²-1怎么因式分解?x²-(a+1)x+a怎么因式分解?