Auto-Math
Calculez \(\left(\dfrac{x-y}{x+y}\right)/\left(\dfrac{x^2-y^2}{x^2+2xy+y^2}\right)\).
\(\dfrac{x+y}{x-y}\)
\(\left( \dfrac{x-y}{x+y}\right)^2\)
1
\(-1\)
Calculez \(\dfrac{\sqrt{20}-2\sqrt{10}-1}{\sqrt{5}}\).
\(2-\sqrt{5}\)
\(\dfrac{2}{\sqrt{5}}-\dfrac{2\sqrt{2}}{\sqrt{5}}-\dfrac{1}{5}\)
\(1-\dfrac{2\sqrt{3}}{\sqrt{5}}-\dfrac{1}{\sqrt{5}}\)
\(2-2\sqrt{2}-\dfrac{1}{\sqrt{5}}\)
Calculez \(\dfrac{a\sqrt{b}+b\sqrt{a}}{\sqrt{ab}}\).
\(a-b\)
\(a+b\)
\(\sqrt{a}+\sqrt{b}\)
\(\frac{1}{\sqrt{b}}+\frac{1}{\sqrt{a}}\)
Calculez \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
Simplifiez l'expression \(\dfrac{\sqrt[3]{5}}{\sqrt{5a}}\cdot\dfrac{a\sqrt{30}}{\sqrt[3]{60a^2}}\).
\(\dfrac{\sqrt[6]{6}}{\sqrt[6]{a}\sqrt[3]{2}}\)
\(\dfrac{1}{\sqrt[5]{a^2}\sqrt[3]{2}}\)
\(\sqrt[3]{2a}\)
impossible
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(0\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
Simplifiez l'expression \(\sqrt[4]{a^4+a^4b}\).
\(a(1+\sqrt[4]{b})\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(a\sqrt[4]{1+b}\)
Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).
\(-\dfrac{13}{72}\)
\(-\dfrac{5}{3}\)
\(\dfrac{5}{18}\)
Simplifiez l'expression \(\displaystyle{\frac{(14x^2y^3z^4)(-xyz)^2}{(-7x^3y^2z^4)(4xy^2z)^3}}\).
\(\dfrac{1}{32x^2y^3z}\)
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).
\(\dfrac{29}{2}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{12}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{2}\)
\(\dfrac{\sqrt{21}+\sqrt{19}+\sqrt{22}+\sqrt{20}}{2}\)
