Question

解分因式3ax^2-6axy+3ay^2;x^4(x-2y)+x^2(2y-x);a^2-2ab+b^2-c^2；102

Answer 1

3ax²-6axy+3ay²

=3a(x²-2xy+y²)

=3a(x-y)²

x^4(x-2y)+x^2(2y-x)

=x^4(x-2y)-x^2(x-2y)

=x²(x-2y)(x²-1)

=x²(x-2y)(x+1)(x-1)

a²-2ab+b²-c²

=(a-b)²-c²

=(a-b+c)(a-b-c)

102²-98²

=(102+98)(102-98)

=200*4

=800