\(\frac{x^{30}+x^{28}+x^{26}+x^{24}+...+x^4+x^2+1}{x^{28}+x^{24}+x^{20}+...+x^8+x^4+1}=\frac{\left(x^{30}+x^{26}+x^{22}+...+x^2\right)+\left(x^{28}+x^{24}+...+x^4+1\right)}{x^{28}+x^{24}+x^{20}+...+x^4+1}\)

\(=\frac{x^2\left(x^{28}+x^{24}+...+x^4+1\right)+\left(x^{28}+x^{24}+...+x^4+1\right)}{x^{28}+x^{24}+...+x^4+1}\)

\(=\frac{\left(x^2+1\right)\left(x^{28}+x^{24}+...+x^4+1\right)}{x^{28}+x^{24}+...+x^4+1}\)

\(=x^2+1\)

7 x 2 = 14       7 x 4 = 28       7 x 6 = 42       7 x 3 = 21

2 x 7 = 14       4 x 7 = 28       6 x 7 = 42       3 x 7 = 21

14 : 7 = 2       28 : 7 = 4       42 : 7 = 6       21 : 7 = 3

14 : 2 = 7       28 : 4 = 7       42 : 6 = 7       21 : 3 = 7

a: \(=-25\cdot4-27=-100-27=-127\)

b: \(=-65:\left(-13\right)-25\cdot4=5-100=-95\)

c: \(=100\cdot\left(-47\right)+53\cdot\left(-100\right)=100\cdot\left(-100\right)=-10000\)

d: \(=\left[\left(-3\right)^{13}:3^{10}-73\right]:\left(-5\right)^2-14\)

\(=\left(-100\right):25-14=-4-14=-18\)

Sai

Sai nhé

S

D = (x² - 1)(x² - 2)(x² - 3)...(x² - 2022)

= (x² - 1)(x² - 2)(x² - 3)...(x² - 784)...(x² - 2022)

Thay x = 28 vào D, ta có:

D = (28² - 1)(28² - 2)(28² - 3)...(28² - 784)...(28² - 2022)

= (28² - 1)(28² - 2)(28² - 3)...(28² - 28²)...(28² - 2022)

= 0

\(\Leftrightarrow x^3+1-x^3+3x^2=28\)

hay \(x\in\left\{3;-3\right\}\)