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

Toán Lớp 8: cộng phân thức sau: $\frac{y}{4x^2-2xy}$+$\frac{4x}{2y^2-4xy}$

Toán Lớp 8: cộng phân thức sau:
$\frac{y}{4x^2-2xy}$+$\frac{4x}{2y^2-4xy}$

Comments ( 2 )

  1. Lời giải:
     \(\begin{array}{l}\dfrac{y}{4x^2-2xy}+\dfrac{4x}{2y^2-4xy}\\=\dfrac{y}{2x(2x-y)}-\dfrac{4x}{2y(2x-y)}\\=\dfrac{y^2}{2xy(2x-y)}-\dfrac{4x^2}{2xy(2x-y)}\\=\dfrac{(y-2x)(y+2x)}{2xy(2x-y)}\\=\dfrac{-y-2x}{2xy}\end{array}\)

  2. \frac{y}{4x^2-2xy}+\frac{4x}{2y^2-4xy}
    =\frac{y}{2x(2x-y)}+\frac{4x}{2y(y-2x)}
    =\frac{y^2}{2xy(2x-y)}+\frac{-4x^2}{2xy(2x-y)}
    =\frac{y^2-4x^2}{2xy(2x-y)}
    =\frac{(y-2x)(y+2x)}{2xy(2x-y)}
    =\frac{-y-2x}{2xy}
    #tnvt

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