1) x^3-xy^2-6y^2+6x^2 = x^2(x-6) - y^2(x+6)2) 8x^4y-xy^4 = xy(8x^3 - y^3) = xy(2x-y)(4x^2+2xy+y^2)3) a^3-2a^2+18-9a = a^2(a-2)-9(a-2) = (a^2-9)(a-2) = (a+3)(a-3)(a-2)4) a^5b^2+27a^2b^5 = a^2b^2(a^3+27b^3) = a^2b^2(a+3b)(a^2-3ab+9b^2)
1) x^3-xy^2-6y^2+6x^2 = x^2(x-6) - y^2(x+6)
2) 8x^4y-xy^4 = xy(8x^3 - y^3) = xy(2x-y)(4x^2+2xy+y^2)
3) a^3-2a^2+18-9a = a^2(a-2)-9(a-2) = (a^2-9)(a-2) = (a+3)(a-3)(a-2)
4) a^5b^2+27a^2b^5 = a^2b^2(a^3+27b^3) = a^2b^2(a+3b)(a^2-3ab+9b^2)