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

Toán Lớp 8: $\frac{7}{6x}$ – $\frac{4}{x-2y}$ – $\frac{y-x}{8y²-2x²}$

Home/ Toán Lớp 8: $\frac{7}{6x}$ – $\frac{4}{x-2y}$ – $\frac{y-x}{8y²-2x²}$

Toán Lớp 8: $\frac{7}{6x}$ – $\frac{4}{x-2y}$ – $\frac{y-x}{8y²-2x²}$

Tháng Sáu 4, 2022 Toán học 2 Comments 0 views

Toán Lớp 8: $\frac{7}{6x}$ – $\frac{4}{x-2y}$ – $\frac{y-x}{8y²-2x²}$

Comments ( 2 )

  1. kimoanh34
    kimoanh34
    4 Tháng Sáu, 2022 at 3:56 sáng
    Reply
    Gửi em:
    $\dfrac{7}{6x}-\dfrac{4}{x-2y}-\dfrac{y-x}{8y^2-2x^2}$ 
    $=\dfrac{7}{6x}-\dfrac{4}{x-2y}+\dfrac{y-x}{2(x^2-4y^2)}$ 
    $=\dfrac{7}{6x}-\dfrac{4}{x-2y}+\dfrac{y-x}{2(x-2y)(x+2y)}$ 
    $=\dfrac{7(x-2y)(x+2y)}{6x(x-2y)(x+2y)}-\dfrac{4.6x(x+2y)}{6x(x-2y)(x+2y)}+\dfrac{3x(y-x)}{6x(x-2y)(x+2y)}$ 
    $=\dfrac{7(x^2-4y^2)}{6x(x-2y)(x+2y)}-\dfrac{24x(x+2y)}{6x(x-2y)(x+2y)}+\dfrac{3xy-3x^2}{6x(x-2y)(x+2y)}$ 
    $=\dfrac{7x^2-28y^2}{6x(x-2y)(x+2y)}-\dfrac{24x^2+48xy}{6x(x-2y)(x+2y)}+\dfrac{3xy-3x^2}{6x(x-2y)(x+2y)}$ 
    $=\dfrac{7x^2-28y^2-24x^2-48xy+3xy-3x^2}{6x(x-2y)(x+2y)}$ 
    $=\dfrac{-20x^2-28y^2-45xy}{6x(x-2y)(x+2y)}$ 
     

  2. ngocle44
    ngocle44
    4 Tháng Sáu, 2022 at 3:56 sáng
    Reply
    Giải đáp:
    = {- 20x^2- 28y^2 – 45xy}/{6x(x – 2y)(x + 2y)}
    Lời giải và giải thích chi tiết:
     7/{6x} – 4/{x – 2y} – {y – x}/{8y^2 – 2x^2}
    =7/{6x} – 4/{x – 2y} + {y – x}/{2x^2 – 8y^2}
    =7/{6x} – 4/{x – 2y} + {y – x}/{2(x^2 – 4y^2)}
    = 7/{6x} – 4/{x – 2y} + {y – x}/{2(x – 2y)(x + 2y)}
    = {7(x – 2y)(x + 2y)}/{6x(x – 2y)(x + 2y)} – {4.6x(x + 2y)}/{6x(x – 2y)(x + 2y)} + {3x(y – x)}/{6x(x – 2y)(x + 2y)}
    = {7x^2 – 28y^2}/{6x(x – 2y)(x + 2y)} – {24x^2 + 48xy}/{6x(x – 2y)(x + 2y)} + {3xy – 3x^2}/{6x(x – 2y)(x + 2y)}
    = {7x^2 – 28y^2 – (24x^2 + 48xy) + 3xy – 3x^2}/{6x(x – 2y)(x + 2y)}
    = {7x^2 – 28y^2 – 24x^2 – 48xy + 3xy – 3x^2}/{6x(x – 2y)(x + 2y)}
    = {(7x^2 – 24x^2 – 3x^2) – 28y^2 – (48xy – 3xy)}/{6x(x – 2y)(x + 2y)}
    = {- 20x^2- 28y^2 – 45xy}/{6x(x – 2y)(x + 2y)}
    #SunHee

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

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