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

Toán Lớp 8: (x/y mũ 2+xy) mũ 2 *giúp tui vs

Toán Lớp 8: (x/y mũ 2+xy) mũ 2
*giúp tui vs

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    [(x/y)^2+xy]^2
    =[(x/y)^2]^2+2.(x/y)^2.xy+(xy)^2
    =(x^4)/(y^4)+(2x^3)/y+x^2y^2
    =(x^4)/(y^4)+(2x^3y^3)/(y^4)+(x^2y^6)/(y^4)
    =(x^4+2x^3y^3+x^2y^6)/(y^4)

  2. $\left[\left(\dfrac{x}{y}\right)^2+xy\right]^2\\\quad=\left[\left(\dfrac{x}{y}\right)^2\right]^2+2.\left(\dfrac{x}{y}\right)^2.xy+(xy)^2\\\quad=\left(\dfrac{x}{y}\right)^4+\dfrac{2x^3y}{y^2}+x^2y^2\\\quad=\dfrac{x^4}{y^4}+\dfrac{2x^3}{y}+x^2y^2$
    Đề là: $\left(\dfrac{x}{y^2}+xy\right)^2\\\quad=\left(\dfrac{x}{y^2}\right)^2+2.\dfrac{x}{y^2}.xy+(xy)^2\\\quad=\dfrac{x^2}{y^4}+\dfrac{2x^2}{y}+x^2y^2$

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