1) 3x^2-3y^2 = 3(x^2-y^2) = 3(x+y)(x-y)2) y^3-y = y(y^2-1) = y(y+1)(y-1)3) a^5-a = a(a^4-1) = a(a^2+1)(a-1)(a+1)4) b^3-12b^2+36b = b(b^2-12b+36) = b(b-6)^25) x^2-y^2+(x+y) = (x+y)(x-y) + (x+y) = (x+y)(x-y+1)6) c^2-4c+4-9x^2 = (c-2)^2-(3x)^2 = (c-2-3x)(c-2+3x)
1) 3x^2-3y^2 = 3(x^2-y^2) = 3(x+y)(x-y)
2) y^3-y = y(y^2-1) = y(y+1)(y-1)
3) a^5-a = a(a^4-1) = a(a^2+1)(a-1)(a+1)
4) b^3-12b^2+36b = b(b^2-12b+36) = b(b-6)^2
5) x^2-y^2+(x+y) = (x+y)(x-y) + (x+y) = (x+y)(x-y+1)
6) c^2-4c+4-9x^2 = (c-2)^2-(3x)^2 = (c-2-3x)(c-2+3x)