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

Toán Lớp 8: Bài 1: phân tích thành nhân tử a) (x+15)^2 -4x^2 b) 1phần8x^3 -27 c)(3x+2)^2-(x-1)^2 d) (xy + 1 )^2 -(1+x)^2 e) 6x^2 -2x-8

Toán Lớp 8: Bài 1: phân tích thành nhân tử
a) (x+15)^2 -4x^2
b) 1phần8x^3 -27
c)(3x+2)^2-(x-1)^2
d) (xy + 1 )^2 -(1+x)^2
e) 6x^2 -2x-8

Comments ( 2 )

  1. @kem
    a)(x+15)²-4x²
    =(x+15)²-(2x)²
    =(x+15+2x)(x+15-2x)
    =(3x+15)(-x+15)
    =-3(x+5)(x-15)
    b)1/(8x³)-27
    =(1/(2x))^3-3³
    =(1/(2x)-3)[(1/(2x))^2+1/(2x).3+3²]
    =(1/(2x)-3)(1/(4x^2)+3/(2x)+9)
    c)(3x+2)²-(x-1)²
    =[(3x+2)+(x-1)][(3x+2)-(x-1)]
    =(3x+2+x-1)(3x+2-x+1)
    =(4x+1)(2x+3)
    d)(xy+1)²-(1+x)²
    =[(xy+1)+(1+x)][(xy+1)-(1+x)]
    =(xy+1+1+x)(xy+1-1-x)
    =(xy+x+2)(xy-x)
    =x(y-1)(xy+x+2)
    e)6x²-2x-8
    =6x²+6x-8x-8
    =6x(x+1)-8(x+1)
    = (x+1)(6x-8)
    = 2(x+1)(3x-4)

  2. Giải đáp:
    a)-3(x+5)(x-15)
    b)(1/(2x)-3)(1/(4x^2)+3/(2x)+9)
    c)(4x+1)(2x+3)
    d)x(y-1)(xy+x+2)
    e)2(x+1)(3x-4)
    Lời giải và giải thích chi tiết:
    a)(x+15)²-4x²
    =(x+15)²-(2x)²
    =(x+15+2x)(x+15-2x)
    =(3x+15)(-x+15)
    =-3(x+5)(x-15)
    b)1/(8x³)-27
    =(1/(2x))^3-3³
    =(1/(2x)-3)[(1/(2x))^2+1/(2x).3+3²]
    =(1/(2x)-3)(1/(4x^2)+3/(2x)+9)
    c)(3x+2)²-(x-1)²
    =[(3x+2)+(x-1)][(3x+2)-(x-1)]
    =(3x+2+x-1)(3x+2-x+1)
    =(4x+1)(2x+3)
    d)(xy+1)²-(1+x)²
    =[(xy+1)+(1+x)][(xy+1)-(1+x)]
    =(xy+1+1+x)(xy+1-1-x)
    =(xy+x+2)(xy-x)
    =x(y-1)(xy+x+2)
    e)6x²-2x-8
    =6x²+6x-8x-8
    =6x(x+1)-8(x+1)
    =(x+1)(6x-8)
    =2(x+1)(3x-4)

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