1: =(x+y)^2-25
=(x+y)^2-5^2
=(x+y+5)(x+y-5)
2: =10^2-(3x-y)^2
=(10-3x+y)(10+3x-y)
3: =(8x)^2-(8a+b)^2
=(8x-8a-b)(8x+8a+b)
4: =(2ab^2)^2-(c^2d)^2
=(2ab^2-c^2d)(2ab^2+c^2d)
5: =(2x)^3-(ab)^3
=(2x-ab)(4x^2+2axb+a^2b^2)
6: =2(8x^3+27y^3)
=2(2x+3y)(4x^2-6xy+9y^2)
7: =(2x)^3-y^3
=(2x-y)(4x^2+2xy+y^2)
8: =(a+b-2a+b)(a+b+2a-b)
=(-a+2b)*3a
9: =(a+b-a+b)[(a+b)^2+(a+b)(a-b)+(a-b)^2]
=2b*[a^2+2ab+b^2+a^2-b^2+a^2-2ab+b^2]
=2b(3a^2+b^2)
10: =(a+b+a-b)[(a+b)^2-(a+b)(a-b)+(a-b)^2]
=2a*[a^2+2ab+b^2-a^2+b^2+a^2-2ab+b^2]
=2a(3b^2+a^2)