24)x^3+x^2y-4x-4y(nhóm) 25)3(x+4)-x^2-4x(nhóm) 26)x^3-3x^2+1-3x (nhóm) 29)x^2-xy+x-y(tách) 30)x^2-2x-15(mode) 32)2x^2+3x-5(mode) 34)x^3-x^2-x+1(nhóm) 35)x^2-7xy+10y^2 (nhóm) phân tích đa thuc áp dụng nhiều các nha cô

24) \(x^3+x^2y-4x-4y=x^2(x+y)-4(x+y)\)

\(=(x^2-4)(x+y)=(x-2)(x+2)(x+y)\)

25) \(3(x+4)-x^2-4x=3(x+4)+x(x+4)=(x+4)(x+3)\)

26) \(x^3-3x^2+1-3x=(x^3+1)-(3x^2+3x)\)

\(=(x+1)(x^2-x+1)-3x(x+1)=(x+1)(x^2-x+1-3x)\)

\(=(x+1)(x^2-4x+1)\)

29) \(x^2-xy+x-y=x(x-y)+(x-y)\)

\(=(x-y)(x+1)\)

30) \(x^2-2x-15=x^2-5x+3x-15\)

\(=x(x-5)-3(x-5)=(x-5)(x-3)\)

32) \(2x^2+3x-5=2x^2-2x+5x-5\)

\(=2x(x-1)+5(x-1)=(x-1)(2x+5)\)

34) \(x^3-x^2-x+1=x^2(x-1)-(x-1)\)

\(=(x-1)(x^2-1)=(x-1)(x+1)(x-1)=(x-1)^2(x+1)\)

35) \(x^2-7xy+10y^2=x^2-5xy-2xy+10y^2\)

\(=x(x-5y)-2y(x-5y)=(x-5y)(x-2y)\)