Question

几道因式分解~在线的数学高手速度！求==、 好滴加分

x三次方-2x平方y+xy平方
4a平方-2a-b平方-b
3y平方+11y+10
2a(x平方+1)平方-8ax平方

Answer 1

x^3-2x^2*y+xy^2
=x(x^2-2xy+y^2)
=x(x-y)^2

4a^2-2a-b^2-b
=(4a^2-b^2)-(2a+b)
=(2a+b)(2a-b)-(2a+b)
=(2a+b)(2a-b-1)

3y^2+11y+10
=(y+2)(3y+5) -----这个是十字交叉法做

2a(x^2+1)^2-8ax^2
=2a[(x^2+1)^2-(2x)^2]
=2a(x^2+1+2x)(x^2+1-2x)
=2a(x+1)^2(x-1)^2

晕死。慢了一步。%>_<%

Answer 2

x^3-2x^2 y+x y^2=x(x^2-2xy+y^2)=x(x-y)^2
(2a-b)(2a+b+1)
(3y+5)(y+2)
2a(x+1)^2(x-1)^2

上面那位快一点点，呵呵

Answer 3

x^3-2x^2y+xy^2
=x(x^2-2xy+y^2)
=x(x-y)^2

4a^2-2a-b^2-b
=4a^2-b^2-2a-b
=(2a+b)(2a-b)-(2a+b)
=(2a+b)(2a-b-1)

3y^2+11y+10
=(y+2)(3y+5)

2a(x^2+1)^2-8ax^2
=2a[(x^2+1)^2-4x^2]
=2a[(x^2+1+2x)(x^2+1-2x)]
=2a(x+1)^2(x-1)^2