(4a+1)^2= (x-1/2)^3= (4m-3n)*(4m+3n)= (2x-y)^3= (a-3)^3=

(4a+1)^2=
(x-1/2)^3=
(4m-3n)*(4m+3n)=
(2x-y)^3=
(a-3)^3=

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  1. Đáp án: Bạn tham khảo

    a) `(4a+1)²=(4a)²+1²=16a²+1`

    b) `(x-1/2)³=x³-3.x².1/2+3.x.(1/2)²-(1/2)³=x³-3/2x²+3/4x+1/8`

    c) `(4m-3n)(4m+3n)=(4m)²-(3n)²=16m²-9n²`

    d) `(2x-y)³=(2x)³-3.(2x)².y+3.2x.y²-y³=8x³-12x²y+6xy²-y³`

    e) `(a-3)³=a³-3.3².a+3.3.a²-3³=a³-27a+9a²-27`

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  2. Đáp án:

     

    Giải thích các bước giải:

    \((4a+1)^2=16a^2+8a+1\\ \bigg(x-\dfrac{1}{2}\bigg)^3=x^3-3.x^2.\dfrac{1}{2}+3.x.\bigg(\dfrac{1}{2}\bigg)^2+\bigg(\dfrac{1}{2}\bigg)^3=x^3-\dfrac{3}{2}x^2+\dfrac{3}{4}x-\dfrac{1}{8}\\ (4m-3n)(4m+3n)=(4m)^2-(3n)^2=16m^2-9n^2\\ (2x-y)^3=(2x)^3-3.(2x)^2.y+3.2x.y^2-y^3=8x^3-12x^2y+6xy^2-y^3\\ (a-3)^3=a^3-3.a^2.3+3.a.3^2-3^3=a^3-9a^2+27a-27\)

    chúc bạn học tốt!

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