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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 \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Calculez \(\left(\dfrac{4}{-15}-\dfrac{7}{-18}\right)-\left(\dfrac{1}{15}-\dfrac{1}{9}\right)\).
\(-\dfrac{1}{18}\)
\(\dfrac{1}{9}\)
\(\dfrac{1}{6}\)
Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).
\(\sqrt[5]{2}\sqrt[3]{a^2}\)
\(\sqrt[3]{\frac{a^2}{2}}\)
\(\sqrt[6]{2}\sqrt[3]{a^2}\)
\(\sqrt{2}a\)
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
\(-1\)
Si \(a=0,2\), \(b=-0,1\), \(c=-0,5\) et \(d=2\) Calculez \(c(a+b)^2+d^2\).
\(3,5\)
\(3,975\)
\(3,995\)
\(4,005\)
Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).
\(\dfrac{29}{2}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{12}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{2}\)
\(\dfrac{\sqrt{21}+\sqrt{19}+\sqrt{22}+\sqrt{20}}{2}\)
Simplifiez l'expression \(\displaystyle{\frac{(14x^2y^3z^4)(-xyz)^2}{(-7x^3y^2z^4)(4xy^2z)^3}}\).
\(\dfrac{1}{32x^2y^3z}\)
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Simplifiez la fraction \(\dfrac{3x^2-xy}{6xy-2y^2}\).
impossible
\(\dfrac{x}{2y(1-y)}-\dfrac{1}{2(3-y^2)}\)
\(\dfrac{x}{2y}\)
\(\dfrac{x^2}{2-2y^2}\)
Simplifiez l'expression \(\displaystyle{ \frac{(2a^2bx)(-3a^3b^2x^3)}{12a^5bx^2}}\).
\(-\dfrac{abx}{2}\)
\(-\dfrac{x^2}{3}\)
\(\dfrac{2-3abx^2}{12a^3x}\)
\(-\dfrac{b^2x^2}{2}\)
