Toán Lớp 8: Phân tích đa thức sau thành nhân tử 6x^2+7x-3 3x^2-3x-6 3x^2+3x-6 6x^2-13x+6 6x^2+15+6 6x^2-20x+6 8x^2+5x-3

Question

Toán Lớp 8:  Phân tích đa thức sau thành nhân tử 6x^2+7x-3 3x^2-3x-6 3x^2+3x-6 6x^2-13x+6 6x^2+15+6 6x^2-20x+6 8x^2+5x-3

hienthucthu97 · Answer

a)6x&sup2;+7x-3    &hArr;6x&sup2;-2x+9x-3   &hArr;(6x&sup2;-2x)+(9x-3)   &hArr;2x.(3x-1)+3.(3x-1)   &hArr;(2x+3).(3x-1)    b)3x&sup2;-3x-6    &hArr;3.(x&sup2;-x-2)   &hArr;3.(x&sup2;-2x+x-2)   &hArr;3.[(x&sup2;-2x)+(x-2)]   &hArr;3.[x.(x-2)+(x-2)]   &hArr;3.(x+1).(x-2)    c)3x&sup2;+3x-6    &hArr;3.(x&sup2;+x-2)   &hArr;3.(x&sup2;-x+2x-2)   &hArr;3.[(x&sup2;-x)+(2x-2)]   &hArr;3.[x(x-1)+2.(x-1)]   &hArr;3.(x+2).(x-1)    d)6x&sup2;-13x+6    &hArr;6x&sup2;-9x-4x+6   &hArr;(6x&sup2;-9x)-(4x-6)   &hArr;3x.(2x-3)-2.(2x-3)   &hArr;(3x-2).(2x-3)    e)6x&sup2;+15+6    &hArr;3.(2x&sup2;+5+2)   &hArr;3.(2x&sup2;+x+4x+2)   &hArr;3.[(2x&sup2;+x)+(4x+2)]   &hArr;3.[x.(2x+1)+4.(2x+1)]   &hArr;3.(x+4).(2x+1)    g)6x&sup2;-20x+6    &hArr;2.(3x&sup2;-10x+3)   &hArr;2.(3x&sup2;-9x-x+3)   &hArr;2.[(3x&sup2;-9x)-(x-3)]   &hArr;2.[3x.(x-3)-(x-3)]   &hArr;2.(3x-1).(x-3)    h)8x&sup2;+5x-3    &hArr;8x&sup2;-3x+8x-3   &hArr;(8x&sup2;-3x)+(8x-3)   &hArr;x.(8x-3)+(8x-3)   &hArr;(x+1).(8x-3)   nhớ vote cho mk 5 sao ,ctlhn,cảm ơn nha

dananhnhu2k4 · Answer

Giải đáp+Lời giải và giải thích chi tiết:     1. 6x^(2)+7x-3   =6x^(2)+9x-2x-3   =3x(2x+3)-(2x+3)   =(2x+3)(3x-1)   2. 3x^(2)-3x-6   =3x^(2)+3x-6x-6   =3x(x+1)-6(x+1)   =(x+1)(3x-6)   =3(x+1)(x-2)   3. 3x^(2)+3x-6   =3x^(2)-3x+6x-6   =3x(x-1)+6(x-1)   =(x-1)(3x+6)   =3(x-1)(x+2)   4. 6x^(2)-13x+6   =6x^(2)-9x-4x+6   =3x(2x-3)-2(2x-3)   =(2x-3)(3x-2)   5. 6x^(2)+15x+6   =3(2x^(2)+5x+2)   6. 6x^(2)-20x+6   =2(3x^(2)-10x+3)   7. 8x^(2)+5x-3   =8x^(2)+8x-3x-3   =8x(x+1)-3(x+1)   =(x+1)(8x-3)   #Study well