计算:(a-b+4ab/a-b)(a+b-4ab/a+b)计算:1.(a-b+4ab/a-b)(a+b-4ab/a+b)2.(a^-2)^-3 × (bc^-1)^33.(3x^3y^2z^-1)^-2 × (5xy^-2z^3)^2
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![计算:(a-b+4ab/a-b)(a+b-4ab/a+b)计算:1.(a-b+4ab/a-b)(a+b-4ab/a+b)2.(a^-2)^-3 × (bc^-1)^33.(3x^3y^2z^-1)^-2 × (5xy^-2z^3)^2](/uploads/image/z/2774796-60-6.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A%28a-b%2B4ab%2Fa-b%29%28a%2Bb-4ab%2Fa%2Bb%29%E8%AE%A1%E7%AE%97%EF%BC%9A1.%28a-b%2B4ab%2Fa-b%29%28a%2Bb-4ab%2Fa%2Bb%292.%EF%BC%88a%5E-2%29%5E-3+%C3%97+%28bc%5E-1%29%5E33.%283x%5E3y%5E2z%5E-1%29%5E-2+%C3%97+%EF%BC%885xy%5E-2z%5E3%EF%BC%89%5E2)
计算:(a-b+4ab/a-b)(a+b-4ab/a+b)计算:1.(a-b+4ab/a-b)(a+b-4ab/a+b)2.(a^-2)^-3 × (bc^-1)^33.(3x^3y^2z^-1)^-2 × (5xy^-2z^3)^2
计算:(a-b+4ab/a-b)(a+b-4ab/a+b)
计算:1.(a-b+4ab/a-b)(a+b-4ab/a+b)
2.(a^-2)^-3 × (bc^-1)^3
3.(3x^3y^2z^-1)^-2 × (5xy^-2z^3)^2
计算:(a-b+4ab/a-b)(a+b-4ab/a+b)计算:1.(a-b+4ab/a-b)(a+b-4ab/a+b)2.(a^-2)^-3 × (bc^-1)^33.(3x^3y^2z^-1)^-2 × (5xy^-2z^3)^2
1.(a-b+4ab/a-b)(a+b-4ab/a+b)=(a-b+4b-a)(a+b-4b+a)=3b*(-3b)=-9b^2
此题是否为[a-b+4ab/(a-b)][a+b-4ab/(a+b)]= {[(a-b)^2 +4ab]/(a-b)}*{[(a+b)^2 -4ab]/(a+b)}
= [(a+b)^2/(a-b)]*[(a-b)^2/(a+b)]=(a+b)*(a-b)=a^2-b^2
2.(a^-2)^-3 * (bc^-1)^3=(1/a^2)^-3*b^3*1/c^3=1/(1/a^2)^3*b^3*1/c^3=a^6*b^3/c^3
3.(3x^3y^2z^-1)^-2 *(5xy^-2z^3)^2=1/.(3x^3y^2z^-1)^2 * (5xz^3/y^2)^2
=(5xz^3/y^2)^2*z^2/.(3x^3y^2)^2=25*x^2*z^6/(9*x^6*y^8)=25*z^6/(9*x^4*y^8)