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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Tách: 1) x^2 – x – 6 2) x^2-8x+12 3)x^2-12x-13 4)2x^2-5x-3 5)3x^2+5x-2 6) 15x^2-x-6

Toán Lớp 8: Tách:
1) x^2 – x – 6
2) x^2-8x+12
3)x^2-12x-13
4)2x^2-5x-3
5)3x^2+5x-2
6) 15x^2-x-6

Comments ( 2 )

  1. $1)x^{2}-x-6$
    $=x^{2}-3x+2x-6$
    $=x^{}(x-3)+2(x-3)$
    $=(x^{}+2)(x-3)$
    $2)x^{2}-8x+12$
    $=x^{2}-6x-2x+12$
    $=x^{}(x-6)-2(x-6)$
    $=(x^{}-2)(x-6)$
    $3)x^{2}-12x-13$
    $=x^{2}+x-13x-13$
    $=x^{}(x+1)-13(x+1)$
    $=(x^{}-13)(x+1)$
    $4)2x^{2}-5x-3$
    $=2x^{2}-6x+x-3$
    $=2x^{}(x-3)+(x-3)$
    $=(x^{}-3)(2x+1)$
    $5)3x^{2}+5x-2$
    $=3x^{2}+6x-x-2$
    $=3x^{}(x+2)-(x+2)$
    $=(x^{}+2)(3x-1)$
    $6)15x^{2}-x-6$
    $=15x^{2}-10x+9x-6$
    $=5x^{}(3x-2)+3(3x-2)$
    $=(3x-2)(5x+3)^{}$
    Chúc bạn học tốt !!!

  2.  
    Lời giải và giải thích chi tiết:
     1) x²-x-6 = x²-3x+2x-6 = x(x-3)+2(x-3) =(x-3)(x+2)
     2) x²-8x+12 = x²-6x-2x+12 =x(x-6)-2(x-6) = (x-6)(x-2)
     3) x²-12x-13 = x²-13x+x-13 = x(x-13)+(x-13) = (x-13)(x+1)
     4) 2x²-5x-3 = 2x²-6x+x-3 =2x(x-3)+(x-3) =(x-3)(2x+1)
     5) 3x²+5x-2 = 3x²+6x-x-2 = 3x(x+2)-(x+2) = (x+2)(3x-1)
     6) 15x²+9x-10x-6 = 3x(5x+3)-2(5x+3) = (5x+3)(3x-2)

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222-9+11+12:2*14+14 = ? ( )