🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{4}{3} - \frac{2}{3} \times \frac{5}{8}$$

🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{2}{7} + \frac{1}{7} \times \frac{8}{3}$$

🇫🇷 Révision 2nde · Expand $(7\sqrt{2}-4)^2$ into the form $a + b\sqrt{2}$.

What is $a$?

🇫🇷 Révision 2nde · Let $A=(x-3)(x+3)-2(x-3)$.

What is $A$ when $x=0$?

🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{5}{18} \times \left(\frac{6}{15} + \frac{5}{15}\right)$$

🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{\,-\frac{1}{2} - \frac{2}{3}\,}{\,\frac{3}{2} - \frac{2}{3}\,}$$

🇫🇷 Révision 2nde · Let $A=(2x-3)^2-(2x-3)(x-2)$.

Solving $A=0$, what is the larger root?

🇫🇷 Révision 2nde · Compute $(4-2\sqrt{3})(4+2\sqrt{3})$.

🇫🇷 Révision 2nde · Let $A=(2x-3)^2-(2x-3)(x-2)$.

What is $A$ when $x=-2$?

🇫🇷 Révision 2nde · Expand $(\sqrt{3}-7)^2$ into the form $a + b\sqrt{3}$.

What is $a$?

🇫🇷 Révision 2nde · Write $\sqrt{50} + 2\sqrt{18}$ in the form $d\sqrt{2}$.

What is $d$?

🇫🇷 Révision 2nde · Write $5 + 6\sqrt{2}\,(3\sqrt{2}+4)$ in the form $a + b\sqrt{2}$.

What is $a$?

🇫🇷 Révision 2nde · Compute (integer result):

$$\frac{3.9 \times (10^{-2})^2}{3 \times 10^{-5}}$$

🇫🇷 Révision 2nde · Compute (integer result):

$$\left(2 + \frac{2}{3}\right) \div \left(\frac{4}{5} - \frac{2}{3}\right)$$