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

Toán Lớp 8: a, $x^{4}$ – $4x^{2}$ – $y^{2}$ +4 b, $2x^{2}$ – 3x-2

Toán Lớp 8: a, $x^{4}$ – $4x^{2}$ – $y^{2}$ +4
b, $2x^{2}$ – 3x-2

Comments ( 2 )

  1. Giải đáp:
    a)(x²-2+y)(x²-2-y)
    b)(x-2)(2x+1)
    Lời giải và giải thích chi tiết:
     a)x^4-4x²-y²+4
    =(x^4-4x²+4)-y²
    =[(x^2)^2-2.x².2+2²]-y²
    =(x²-2)^2-y²
    =(x²-2+y)(x²-2-y)
    Áp dụng HĐT:(A-B)²=A²-2AB+B²
                           A²-B²=(A+B)(A-B)
    b)2x²-3x-2
    =2x²-4x+x-2
    =(2x²-4x)+(x-2)
    =2x(x-2)+(x-2)
    =(x-2)(2x+1)

  2. x^4-4x²-y²+4
    =(x^4-4x^2+4)-y²
     =(x^2-2)^2-y^2
    =(x^2-2-y^2)(x^2-2+y^2
    ……………..
    2x^2-3x-2
    =2x^2-3x+9/8-9/8-2
    =2(x²-1,5x+9/16)-25/8
    =2(x-3/4)^2-(5/(2\sqrt{2}))^2
    =[2(x-3/4)-5/(2\sqrt{2})][2(x-3/4)+5/(2\sqrt{2})]
    ……………
    2x^2-3x-2
    =2x^2-4x+x-2
    =2x(x-2)+(x-2)
    =(x-2)(2x+1)

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