lam ho mk voi a ( bai 5)

lam ho mk voi a ( bai 5)
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  1. \(\begin{array}{l}
    a){a^3} + 3.{a^2}.4 + 3.a{.4^2} + {4^3}\\
     = {\left( {a + 4} \right)^3}\\
    b. – \left( {{b^3} – 3.{b^2}.2 + 3.b.4 – {2^3}} \right)\\
     =  – {\left( {b – 2} \right)^3}\\
    c.{\left( {m – n} \right)^6} – 3.{\left( {m – n} \right)^4}.2 + 3.{\left( {m – n} \right)^2}.4 – {2^3}\\
     = {\left[ {{{\left( {m – n} \right)}^2} – 2} \right]^3}\\
    d.{\left( {\dfrac{2}{3}a} \right)^3} – 3.{\left( {\dfrac{2}{3}a} \right)^2}.2b + 3.\left( {\dfrac{2}{3}a} \right).4{b^2} – {\left( {2b} \right)^3}\\
     = {\left( {\dfrac{2}{3}a – 2b} \right)^3}
    \end{array}\)

     

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  2. Đáp án:

    d. \({\left( {\dfrac{2}{3}a – 2b} \right)^3}\)

    Giải thích các bước giải:

    \(\begin{array}{l}
    a){a^3} + 3.{a^2}.4 + 3.a{.4^2} + {4^3}\\
     = {\left( {a + 4} \right)^3}\\
    b. – \left( {{b^3} – 3.{b^2}.2 + 3.b.4 – {2^3}} \right)\\
     =  – {\left( {b – 2} \right)^3}\\
    c.{\left( {m – n} \right)^6} – 3.{\left( {m – n} \right)^4}.2 + 3.{\left( {m – n} \right)^2}.4 – {2^3}\\
     = {\left[ {{{\left( {m – n} \right)}^2} – 2} \right]^3}\\
    d.{\left( {\dfrac{2}{3}a} \right)^3} – 3.{\left( {\dfrac{2}{3}a} \right)^2}.2b + 3.\left( {\dfrac{2}{3}a} \right).4{b^2} – {\left( {2b} \right)^3}\\
     = {\left( {\dfrac{2}{3}a – 2b} \right)^3}
    \end{array}\)

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