把下列各式分解因式;在下面在下面在下面.（1）4ab^2-8a^2b;(2)-15xy-5x^2;(3)x^3y^3+x^2y^2-xy;(4)-27x^2y+xy^2-18xy;(5)x^2九分之y^2-三分之二xy;(6)(m^2+1)^2+4m(m^2+1)+4m^2;（7）x^2-12x+27;(8)x^2-14x-32;(9)3x^2-11x+10;(10)6x^2-11

Question

把下列各式分解因式;在下面在下面在下面.
（1）4ab^2-8a^2b;(2)-15xy-5x^2;(3)x^3y^3+x^2y^2-xy;(4)-27x^2y+xy^2-18xy;(5)x^2九分之y^2-三分之二xy;(6)(m^2+1)^2+4m(m^2+1)+4m^2;（7）x^2-12x+27;(8)x^2-14x-32;(9)3x^2-11x+10;(10)6x^2-11x+10

Answer 1

（1）4ab^2-8a^2b;
=4ab(b-2a)
(2)-15xy-5x^2;
=-5x(3y+x)
(3)x^3y^3+x^2y^2-xy;
=xy(x²y²+xy-1)
(4)-27x^2y+xy^2-18xy;
=-xy(27x+y-18)
(5)x^2九分之y^2-三分之二xy;
=xy(xy/9-2/3)
=(xy/9)(xy-6)
(6)(m^2+1)^2+4m(m^2+1)+4m^2;
=(m²+1+2m)²
=(m+1)^4;
（7）x^2-12x+27;
=(x-3)(x-9)
(8)x^2-14x-32;
=(x-16)(x+2)
(9)3x^2-11x+10;
=(3x-5)(x-2)
(10)6x^2-11x-10
=(3x+2)(2x-5)