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

Toán Lớp 8: giúp mik với ạ $\frac{1}{x-y}$ +$\frac{3xy}{y^3+x^3}$ +$\frac{x-y}{x^2+xy+y^2}$

Toán Lớp 8: giúp mik với ạ
$\frac{1}{x-y}$ +$\frac{3xy}{y^3+x^3}$ +$\frac{x-y}{x^2+xy+y^2}$

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    $\frac{1}{x-y}$ ${+}$ $\frac{3xy}{y^3+x^3}+ $ $\frac{x-y}{x^2+xy+y^2}$ 
    ⇔$\frac{1}{x-y}$ ${+}$ $\frac{3xy}{x^3+y^3}+ $ $\frac{x-y}{x^2+xy+y^2}$ 
    ⇔$\frac{1}{x-y}$ ${+}$ $\frac{3xy}{(x-y)(x^2+xy+y^2)}+ $ $\frac{x-y}{x^2+xy+y^2}$ 
    ⇔$\frac{x^2+xy+y^2}{(x-y)(x^2+xy+y^2)}$ ${+}$ $\frac{3xy}{(x-y)(x^2+xy+y^2)}+ $ $\frac{(x-y)(x-y)}{(x-y)(x^2+xy+y^23xy)}$ 
    ⇔$\frac{(x^2+xy+y^2)+3xy+(x-y)(x-y)}{(x-y)(x^2+xy+y^2)}$ 
    ⇔$\frac{x^2+xy+y^2+3xy+(x-y)^2}{(x-y)(x^2+xy+y^2)}$ 
    ⇔$\frac{x^2+xy+y^2+3xy+x^2-2xy+y^2}{(x-y)(x^2+xy+y^2)}$
    ⇔$\frac{2x^2+2xy+2y^2}{(x-y)(x^2+xy+y^2)}$
    ⇔$\frac{2(x^2+xy+y^2)}{(x-y)(x^2+xy+y^2)}$
    ⇔$\frac{2}{x-y}$

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