好多因式分解的题目,能帮我解答吗

Question

x^2-y^2+x+y
6a^2-7a+2
8x^3y-50xy^3
4(a-b)^2-16(a+b)^2
a^2+2am+m^2-b^2+2bm-n^2

Answer 1

1、x^2-y^2+x+y
=(x+y)*(x-y)+(x+y)
=(x+y)(x-y+1)

2、6a^2-7a+2
=(2a-1)*(3a-2)

3、8x^3y-50xy^3
=2xy*(4x^2+25y^2)
=2xy*(2x+5y)*(2x-5y)

4、4(a-b)^2-16(a+b)^2
=(2a-2b)^2-(4a+4b)^2
=(2a-2b+4a+4b)*(2a-2b-4a-4b)
=(6a+2b)*(-2a-6b)

5、a^2+2am+m^2-b^2+2bn-n^2
=(a+m)^2-(b-n)^2
=(a+m+b-n)*(a+m-b+n)

Answer 2

=18

Answer 3

x^2-y^2+x+y
=(x+y)(x-y)+x+y
=(x+y)(x-y+1)

6a^2-7a+2
=(2a-1)(3a-2)

8x^3y-50xy^3
=2xy(4x^2-25y^2)
=2xy(2x-5y)(2x+5y)

4(a-b)^2-16(a+b)^2
=4(a-b-4a-4b)(a-b+4a+4b)

a^2+2am+m^2-b^2+2bm-n^2
=(a+m)^2-(b-n)^2
=(a+m-b+n)(a+m+b-n)