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

Toán Lớp 8: phân tích đa thức thành nhân tủ 1:5x2z-15xyz+30xz2 2:5×2-5xy-10x+10y 3:a3-3a+3b-b3 4:25-a2-2ab-b2 5:4×2-25+(2x+7)(5-2x) 6:a2x2-a2y2-b2

Toán Lớp 8: phân tích đa thức thành nhân tủ
1:5x2z-15xyz+30xz2
2:5×2-5xy-10x+10y
3:a3-3a+3b-b3
4:25-a2-2ab-b2
5:4×2-25+(2x+7)(5-2x)
6:a2x2-a2y2-b2x2+b2y2
7:x2-2014x+2013
8:x2-y2+12y-36
9:(x+2)2-x2+2x-1
10:16×2-y2
11:6×2-11x+3
12:1+27×3
làm ơn cho xin đáp án

Comments ( 1 )

  1. $\\$
    Giải đáp+Lời giải và giải thích chi tiết:
    $\\$
    1) 5x^2z-15xyz+30xz^2
    =5xz(x-3y+6z)
    $\\$
    2)5x^2-5xy-10x+10y
    =5x(x-y)-10(x-y)
    =(x-y)(5x-10)
    $\\$
    3)a^3-3a+3b-b^3
    =(a^3-b^3)-(3a-3b)
    =(a-b)(a^2+ab+b^2)-3(a-b)
    =(a^2+ab+b^2-3)(a-b)
    $\\$
    4)25-a^2-2ab-b^2
    =25-(a^2+2ab+b^2)
    =5^2-(a+b)^2
    =(5+a+b)(5-a-b)
    $\\$
    5)4x^2-25+(2x+7)(5-2x)
    =(2x)^2-5^2-(7-2x)(2x-5)
    =(2x-5)(2x+5)-(7-2x)(2x-5)
    =(2x-5)(2x+5-7+2x)
    =(2x-5)(4x-2)
    $\\$
    6)a^2x^2-a^2y^2-b^2x^2+b^2y^2
    =a^2(x^2-y^2)-b^2(x^2-y^2)
    =(x^2-y^2)(a^2-b^2)
    =(x+y)(x-y)(a+b)(a-b)
    $\\$
    7)x^2-x-2013x+2013
    =x(x-1)-2013(x-1)
    =(x-1)(x-2013)
    $\\$
    8)x^2-y^2+12y-36
    =x^2-(y^2-12y+36)
    =x^2-(y-6)^2
    =(x+y-6)(x-y+6)
    $\\$
    9)(x+2)^2-x^2+2x-1
    =(x+2)^2-(x^2-2x+1)
    =(x+2)^2-(x-1)^2
    =(x+2+x-1)(x+2-x+1)
    =(2x+1).3
    $\\$
    10)16x^2-y^2
    =(4x)^2-y^2
    =(4x+y)(4x-y)
    $\\$
    11)6x^2-11x+3
    =6x^2-2x-9x+3
    =2x(3x-1)-3(3x-1)
    =(3x-1)(2x-3)
    $\\$
    12)1+27x^3
    =1^3+(3x)^3
    =1^3+2.1^2. 3x+2.1.(3x)^2+(3x)^3
    =1+6x+18x^2+17x^3

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