Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
64 cm^2
Step-by-step explanation:
Area of Shaded Region = Area of Parallelogram - Area of Rectangle
Area of Parallelogram = 10 * 7 = 70
Area of Rectangle = 2 * 3 = 6
70 - 6 = 64 cm^2
5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4
Answer: 109/1000
.109 can not be reduced, so we must put it in a fraction with 1,000.
So, the fraction would be 109/1000, because we need a denominator as 1,000.
The answer = 109/1000