Rút gọn:

1. -3x⁵y⁴ + 3x²y³ - 7x²y³ + 5x⁵y⁴

2. \(\frac{1}{2}\)x⁴y - \(\frac{3}{2}\)x³y⁴ + \(\frac{5}{3}\)x⁴y - x³y⁴

3. 5x - 7xy² + 3x - \(\frac{1}{2}\)xy²

4. \(-\frac{1}{5}\)x⁴y³ + \(\frac{3}{4}\)x²y - \(\frac{1}{2}\)x²y + x⁴y³

5. \(\frac{7}{4}\)x⁵y⁷ - \(\frac{3}{2}\)x²y⁶ + \(\frac{1}{5}\)x⁵y⁷ + \(\frac{2}{3}\)x²y⁶

6. \(\frac{1}{3}\)x²y⁵ (\(-\frac{3}{5}\)x³y) + x⁵y⁶

7. \(\frac{1}{2}\)x⁴y ( \(-\frac{2}{3}\)x³y²) \(-\frac{1}{3}\)x⁷y³

8. 5xy² (\(-\frac{3}{10}\)x²y) + \(\frac{3}{4}\)x³y³

9. \(\frac{1}{7}\)x²y³ (\(-\frac{14}{3}\)xy²) \(-\frac{1}{2}\)xy (x²y⁴)

10. \(\frac{2}{5}\)x⁴y⁵ (\(\frac{5}{4}\)x²y³) + \(\frac{5}{3}\)x²y³ (\(-\frac{9}{10}\)x⁴y⁵)

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BÀI HƠI DÀI NHƯNG GIÚP MK.

Rút gọn:

1. (\(\frac{1}{3}\)xy)² x³ + \(\frac{3}{2}\)(2x)³ (\(-\frac{7}{4}\)x²y²)\(-\frac{2}{3}\)x⁵y²

2. \(-\frac{2}{5}\)x²y (-y⁶) + \(\frac{3}{2}\)xy (\(-\frac{1}{15}\)xy⁶) + (-2xy)²y⁵

3. \(\frac{3}{7}\)xy²z + \(\frac{1}{2}\)x³y² + \(\frac{1}{3}\)x³y² \(-\frac{3}{7}\)xy²z

4. \(\frac{2}{3}\)xy² \(-\frac{5}{2}\)yz + \(\frac{1}{2}\)xy² \(-\frac{2}{3}\)yz

5. \(\frac{3}{2}\)xy²z⁵ \(-\frac{5}{4}\)xyz² + \(\frac{4}{3}\)xy²z⁵ + \(\frac{1}{2}\)xyz²

Rút gọn:

1. (xy)² \(-\frac{1}{2}\)x²y² + 3xy². (\(-\frac{1}{3}\)x)

2. 4. (\(-\frac{1}{2}\)x)²\(-\frac{3}{2}\)x.(-x) + \(\frac{1}{3}\)x²

3. -4. (2x)²y³ + \(\frac{1}{2}\)xy. (-2xy²) + \(\frac{1}{4}\)x²y³

4. \(\frac{1}{3}\)x⁴y\(-\frac{5}{3}\)x³. (\(\frac{5}{2}\)xy) +\(\frac{3}{4}\)x⁴y

5. (-2x³y⁴)² - 5x²y. (\(\frac{3}{4}\)x⁴y⁷)\(-\frac{2}{3}\)x⁶y⁸

Rút gọn:

1. (-2x⁴y³z⁷)².(\(\frac{1}{4}\)xy⁵).(-3x²yz)³.(\(-\frac{1}{27}\)x³yz²)

2. ( \(-\frac{1}{3}\)xy²z).(\(\frac{4}{5}\)x⁵y⁶z).(\(-\frac{27}{10}\)x²yz⁴)

3. (-7x⁵yz²)². (\(-\frac{1}{4}\)x³yz⁷).(\(\frac{8}{21}\)x⁵z⁴)

4. (\(-\frac{1}{4}\)x²y³z⁴)³.(-2xyz²)².(\(-\frac{5}{3}\)x⁴yz)

5. (\(\frac{1}{4}\)x⁴y²z)².(-8xyz²).(\(-\frac{1}{2}\)x⁴yz)

Rút gọn:

1. \(\frac{1}{5}\)x²y⁷. (-10x³yz²).(\(\frac{1}{4}\)x⁵y²z)

2. -3x⁴yz. (\(-\frac{1}{6}\)x³yz²).(\(-\frac{5}{2}\)x⁴y³z)

3. \(-\frac{1}{4}\)x³y⁴z⁵. (\(\frac{8}{9}\)x²yz).(\(-\frac{3}{5}\)xyz³)

4. \(\frac{5}{3}\)x⁴y³z⁵. (\(-\frac{3}{10}\)xy²z).(\(-\frac{2}{7}\)x⁵yz)

5. \(-\frac{1}{2}\)x⁴y⁷. (\(-\frac{2}{5}\)xyz).(\(\frac{10}{7}\)xz³).(-14y²z³)

\(Cho Δ ABC cân (A < 90), I là trung điểm BC. Kẻ IH ⊥ AB tại H, IK ⊥ AC\)

\(a) Chứng minh: Δ IHB = Δ IKC\)

b) Gọi D là giao điểm AB và KI

E là giao điểm AC và HI

c) Chứng minh: $\Delta$AID = $\Delta$AIE

d) Giả sử BÂC = 90. Tính các góc \(\Delta\)IDE