Đáp án + Giải thích các bước giải:
1
$1)-8x^3y+16xy^2-24=-8(x^3y-2xy^2+3)$
$2)4x^3y^2-2x^2y^3+12x^4=2x^2(2xy^2-y^3+6x^2)$
$3)2a(x+y)-4(x+y)=(x+y)(2a-4)=2(x+y)(a-2)$
$4)ab(x-5)-a^2(5-x)=ab(x-5)+a^2(x-5)=(x-5)(ab+a^2)=a(x-5)(b+a)$
$5)2a^2b(x+y)-4a^3b(-x-y)=2a^2b(x+y)+4^3b(x+y)$
$=(x+y)(2a^2b+4a^3b)=2a^2b(x+y)(1+2a)$
2
$1)a+b+x(a+b)=(a+b)(1+x)$
$2)10ax-5ay+2x-y=5a(2x-y)+(2x-y)=(2x-y)(5a+1)$
$3)a-b-x(b-a)=a-b+x(a-b)=(a-b)(1+x)$
$4)2x^2-6xy+5x-15y=2x(x-3y)+5(x-3y)=(x-3y)(2x+5)$
$5)ax^2-3axy+bx-3by=ax(x-3y)+b(x-3y)=(x-3y)(ax+b)$
