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SerloDie freie Lernplattform

Vereinfache so weit wie möglich.

  1. a+bbaba\dfrac{a+b}b-\dfrac{a-b}a

  2. cc28c+162c26c+8\dfrac c{c^2-8c+16}-\dfrac2{c^2-6c+8}

  3. bca2+acabac+c2+a2+c2a2c+ac2\dfrac{b-c}{a^2+ac}-\dfrac{a-b}{ac+c^2}+\dfrac{a^2+c^2}{a^2c+ac^2}

  4. 10u211u625u24\dfrac{10u^2-11u-6}{25u^2-4}

  5. c2+c20c2+c+30\dfrac{c^2+c-20}{-c^2+c+30}

  6. 7r2s12(rs)    (2sr2r)221rs2\dfrac{7r^2s}{12\left(r-s\right)}\;\cdot\;\dfrac{(2\mathrm{sr}-2r)^2}{21\mathrm{rs}^2}

  7. (66a2)3:(4xy2)21(2a2b)3(3x2y3)3  :  2a3b5\dfrac{\left(\frac66a^2\right)^3:\left(\frac{4x}{y^2}\right)^2}{\frac1{\left(2a^2b\right)^3\cdot\left(3x^2y^3\right)^3}}\;:\;\dfrac{2a^3b}5

  8. 23b2+(3b2)256b2(43a2b)3  :  (2a3)25a3b2\dfrac{\frac23b^2+\left(\frac{3b}2\right)^2-\frac56b^2}{\left(\frac43a^2b\right)^3}\;:\;\dfrac{\left(\frac{2a}3\right)^2}{\frac{5a^3}{b^2}}