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

Toán Lớp 8: Quiz: Phân tích thành nhân tử!!! `4x^2R^2-x^4-3R^4`

Toán Lớp 8: Quiz:
Phân tích thành nhân tử!!!
4x^2R^2-x^4-3R^4

Comments ( 2 )

  1. Giải đáp:
    4x^2R^2-x^4-3R^4=(x^2-3R^2)(R+x)(R-x)
    Lời giải và giải thích chi tiết:
    4x^2R^2-x^4-3R^4
    =4x^2R^2-4x^4+3x^4-3R^4
    =(4x^2R^2-4x^4)+(3x^4-3R^4)
    =4x^2(R^2-x^2)+3(x^4-R^4)
    =4x^2(R^2-x^2)-3(R^4-x^4)
    =4x^2(R+x)(R-x)-3[(R^2)^2-(x^2)^2)]
    =4x^2(R+x)(R-x)-3(R^2+x^2)(R^2-x^2)
    =4x^2(R+x)(R-x)-3(R^2+x^2)(R+x)(R-x)
    =[4x^2-3(R^2+x^2)](R+x)(R-x)
    =(4x^2-3R^2-3x^2)(R+x)(R-x)
    =(x^2-3R^2)(R+x)(R-x)

  2. 4x^2R^2 – x^4 – 3R^4
    = 4x^2R^2 – 4x^4 + 3x^4 – 3R^4
    = 4x^2 (R^2 – x^2) + 3 (x^4 – R^4)
    = 4x^2 (R^2 – x^2) – 3 (R^4 – x^4 )
    = 4x^2 (R^2 – x^2) – 3 (R^2 – x^2) (R^2 + x^2)
    = 4x^2 (R^2 – x^2) – (3R^2 + 3x^2) (R^2 – x^2)
    = (4x^2 – 3R^2 – 3x^2) (R^2 – x^2)
    = (x^2 – 3R^2) (R^2 – x^2)
    = (x –  $\sqrt[]{3}$ R) (x +  $\sqrt[]{3}$ R) (R – x) (R + x)

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

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