Question

x三次方-2x平方y+xy平方4a平方-2a-b平方-b3y平方+11y+102a(x平方+1)平方-8ax平方

Answer 1

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